diff options
| -rw-r--r-- | Problem1.py | 18 | ||||
| -rw-r--r-- | Problem10.py | 11 | ||||
| -rw-r--r-- | Problem11.py | 31 | ||||
| -rw-r--r-- | Problem12.py | 23 | ||||
| -rw-r--r-- | Problem13.py | 7 | ||||
| -rw-r--r-- | Problem14.py | 17 | ||||
| -rw-r--r-- | Problem15.py | 15 | ||||
| -rw-r--r-- | Problem16.py | 6 | ||||
| -rw-r--r-- | Problem17.py | 97 | ||||
| -rw-r--r-- | Problem2.py | 10 | ||||
| -rw-r--r-- | Problem20.py | 10 | ||||
| -rw-r--r-- | Problem21.py | 17 | ||||
| -rw-r--r-- | Problem22.py | 76 | ||||
| -rw-r--r-- | Problem23.py | 24 | ||||
| -rw-r--r-- | Problem25.py | 12 | ||||
| -rw-r--r-- | Problem26.py | 25 | ||||
| -rw-r--r-- | Problem3.py | 24 | ||||
| -rw-r--r-- | Problem34.py | 20 | ||||
| -rw-r--r-- | Problem35.py | 33 | ||||
| -rw-r--r-- | Problem36.py | 16 | ||||
| -rw-r--r-- | Problem37.py | 34 | ||||
| -rw-r--r-- | Problem38.py | 22 | ||||
| -rw-r--r-- | Problem39.py | 21 | ||||
| -rw-r--r-- | Problem4.py | 14 | ||||
| -rw-r--r-- | Problem40.py | 7 | ||||
| -rw-r--r-- | Problem41.py | 30 | ||||
| -rw-r--r-- | Problem42.py | 45 | ||||
| -rw-r--r-- | Problem43.py | 40 | ||||
| -rw-r--r-- | Problem44.py | 21 | ||||
| -rw-r--r-- | Problem45.py | 27 | ||||
| -rw-r--r-- | Problem46.py | 31 | ||||
| -rw-r--r-- | Problem47.py | 20 | ||||
| -rw-r--r-- | Problem48.py | 6 | ||||
| -rw-r--r-- | Problem49.py | 21 | ||||
| -rw-r--r-- | Problem5.py | 18 | ||||
| -rw-r--r-- | Problem50.py | 18 | ||||
| -rw-r--r-- | Problem51.py | 38 | ||||
| -rw-r--r-- | Problem52.py | 14 | ||||
| -rw-r--r-- | Problem55.py | 18 | ||||
| -rw-r--r-- | Problem56.py | 11 | ||||
| -rw-r--r-- | Problem57.py | 9 | ||||
| -rw-r--r-- | Problem6.py | 11 | ||||
| -rw-r--r-- | Problem7.py | 15 | ||||
| -rw-r--r-- | Problem8.py | 6 | ||||
| -rw-r--r-- | Problem9.py | 12 | ||||
| -rw-r--r-- | Problem97.py | 9 | ||||
| -rw-r--r-- | names.txt | 1 | ||||
| -rw-r--r-- | words.txt | 1 |
48 files changed, 1012 insertions, 0 deletions
diff --git a/Problem1.py b/Problem1.py new file mode 100644 index 0000000..f3ccb78 --- /dev/null +++ b/Problem1.py @@ -0,0 +1,18 @@ +# a, b = 0, 1 +# while a < 10: +# print(a) +# a, b = b, a+b +#print(sum(range(8))) + +def isMultiple(n): + if (n % 3 == 0) or (n % 5 == 0): + return True + else: + return False +count = 0 +for n in range(0,1000): + if isMultiple(n): + count = count + n +print(count) + +
\ No newline at end of file diff --git a/Problem10.py b/Problem10.py new file mode 100644 index 0000000..4af48a5 --- /dev/null +++ b/Problem10.py @@ -0,0 +1,11 @@ +def isPrime(n): + for x in range (2,int(n/2)+1): + if n % x == 0: + return False + return True +sum = 0 +for x in range(2,2000000): + if isPrime(x): + sum += x + print(sum) +k=input("press close to exit")
\ No newline at end of file diff --git a/Problem11.py b/Problem11.py new file mode 100644 index 0000000..80a7dd3 --- /dev/null +++ b/Problem11.py @@ -0,0 +1,31 @@ +grid = [8, 2, 22, 97, 38, 15, 00, 40, 00, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0],[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65],[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91],[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80],[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50],[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70],[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21],[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72],[21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95],[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92],[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57],[86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40],[4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69],[4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36],[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16],[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54],[1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48] +adjacentMax = 0 +for x in range(0,20): + for y in range(0,20): + if x > 2: #left check + if (grid[x][y]*grid[x-1][y]*grid[x-2][y]*grid[x-3][y]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x-1][y]*grid[x-2][y]*grid[x-3][y] + if x < 17: #right check + if (grid[x][y]*grid[x+1][y]*grid[x+2][y]*grid[x+3][y]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x+1][y]*grid[x+2][y]*grid[x+3][y] + if y > 2: #up check + if (grid[x][y]*grid[x][y-1]*grid[x][y-2]*grid[x][y-3]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x][y-1]*grid[x][y-2]*grid[x][y-3] + if y < 17: #down check + if (grid[x][y]*grid[x][y+1]*grid[x][y+2]*grid[x][y+3]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x][y+1]*grid[x][y+2]*grid[x][y+3] + if (x < 17) and (y < 17): #down right + if (grid[x][y]*grid[x+1][y+1]*grid[x+2][y+2]*grid[x+3][y+3]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x+1][y+1]*grid[x+2][y+2]*grid[x+3][y+3] + if (x > 2) and (y < 17): #down left + if (grid[x][y]*grid[x-1][y+1]*grid[x-2][y+2]*grid[x-3][y+3]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x-1][y+1]*grid[x-2][y+2]*grid[x-3][y+3] + if (x > 2) and (y > 2): #up left + if (grid[x][y]*grid[x-1][y-1]*grid[x-2][y-2]*grid[x-3][y-3]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x-1][y-1]*grid[x-2][y-2]*grid[x-3][y-3] + if (x < 17) and (y > 2): #up right + if (grid[x][y]*grid[x+1][y-1]*grid[x+2][y-2]*grid[x+3][y-3]) > adjacentMax: + adjacentMax = grid[x][y]*grid[x+1][y-1]*grid[x+2][y-2]*grid[x+3][y-3] + +print(adjacentMax) + diff --git a/Problem12.py b/Problem12.py new file mode 100644 index 0000000..20847d3 --- /dev/null +++ b/Problem12.py @@ -0,0 +1,23 @@ +def divisorcountover500(n): + divisors = 2 + for x in range(2,int(n/2)+1): + if n % x == 0: + divisors+=1 + print(divisors) + if divisors > 500: + return True + return False + + +triangleNum, count = 1 , 1 +while divisorcountover500(triangleNum) == False: + count+=1 + triangleNum+=count +print(triangleNum) +k=input("press close to exit") + + + + + + diff --git a/Problem13.py b/Problem13.py new file mode 100644 index 0000000..5063c85 --- /dev/null +++ b/Problem13.py @@ -0,0 +1,7 @@ +numblock = "37107287533902102798797998220837590246510135740250463769376774900097126481248969700780504170182605387432498619952474105947423330951305812372661730962991942213363574161572522430563301811072406154908250230675882075393461711719803104210475137780632466768926167069662363382013637841838368417873436172675728112879812849979408065481931592621691275889832738442742289174325203219235894228767964876702721893184745144573600130643909116721685684458871160315327670386486105843025439939619828917593665686757934951621764571418565606295021572231965867550793241933316490635246274190492910143244581382266334794475817892575867718337217661963751590579239728245598838407582035653253593990084026335689488301894586282278288018119938482628201427819413994056758715117009439035398664372827112653829987240784473053190104293586865155060062958648615320752733719591914205172558297169388870771546649911559348760353292171497005693854370070576826684624621495650076471787294438377604532826541087568284431911906346940378552177792951453612327252500029607107508256381565671088525835072145876576172410976447339110607218265236877223636045174237069058518606604482076212098132878607339694128114266041808683061932846081119106155694051268969251934325451728388641918047049293215058642563049483624672216484350762017279180399446930047329563406911573244438690812579451408905770622942919710792820955037687525678773091862540744969844508330393682126183363848253301546861961243487676812975343759465158038628759287849020152168555482871720121925776695478182833757993103614740356856449095527097864797581167263201004368978425535399209318374414978068609844840309812907779179908821879532736447567559084803087086987551392711854517078544161852424320693150332599594068957565367821070749269665376763262354472106979395067965269474259770973916669376304263398708541052684708299085211399427365734116182760315001271653786073615010808570091499395125570281987460043753582903531743471732693212357815498262974255273730794953759765105305946966067683156574377167401875275889028025717332296191766687138199318110487701902712526768027607800301367868099252546340106163286652636270218540497705585629946580636237993140746255962240744869082311749777923654662572469233228109171419143028819710328859780666976089293863828502533340334413065578016127815921815005561868836468420090470230530811728164304876237919698424872550366387845831148769693215490281042402013833512446218144177347063783299490636259666498587618221225225512486764533677201869716985443124195724099139590089523100588229554825530026352078153229679624948164195386821877476085327132285723110424803456124867697064507995236377742425354112916842768655389262050249103265729672370191327572567528565324825826546309220705859652229798860272258331913126375147341994889534765745501184957014548792889848568277260777137214037988797153829820378303147352772158034814451349137322665138134829543829199918180278916522431027392251122869539409579530664052326325380441000596549391598795936352974615218550237130764225512118369380358038858490341698116222072977186158236678424689157993532961922624679571944012690438771072750481023908955235974572318970677254791506150550495392297953090112996751986188088225875314529584099251203829009407770775672113067397083047244838165338735023408456470580773088295917476714036319800818712901187549131054712658197623331044818386269515456334926366572897563400500428462801835170705278318394258821455212272512503275512160354698120058176216521282765275169129689778932238195734329339946437501907836945765883352399886755061649651847751807381688378610915273579297013376217784275219262340194239963916804498399317331273132924185707147349566916674687634660915035914677504995186714302352196288948901024233251169136196266227326746080059154747183079839286853520694694454072476841822524674417161514036427982273348055556214818971426179103425986472045168939894221798260880768528778364618279934631376775430780936333301898264209010848802521674670883215120185883543223812876952786713296124747824645386369930090493103636197638780396218407357239979422340623539380833965132740801111666627891981488087797941876876144230030984490851411606618262936828367647447792391803351109890697907148578694408955299065364044742557608365997664579509666024396409905389607120198219976047599490197230297649139826800329731560371200413779037855660850892521673093931987275027546890690370753941304265231501194809377245048795150954100921645863754710598436791786391670211874924319957006419179697775990283006991536871371193661495281130587638027841075444973307840789923115535562561142322423255033685442488917353448899115014406480203690680639606723221932041495354150312888033953605329934036800697771065056663195481234880673210146739058568557934581403627822703280826165707739483275922328459417065250945123252306082291880205877731971983945018088807242966198081119777158542502016545090413245809786882778948721859617721078384350691861554356628840622574736922845095162084960398013400172393067166682355524525280460972253503534226472524250874054075591789781264330331690" +sum = 0 +for x in range(0,100): + count = 0 + fiftydigit = numblock[x*50:(x*50)+50] + sum += int(fiftydigit) +print(sum) diff --git a/Problem14.py b/Problem14.py new file mode 100644 index 0000000..f7a93b3 --- /dev/null +++ b/Problem14.py @@ -0,0 +1,17 @@ +def sequence(x): + count = 1 + while x > 1: + if(x%2 == 0): + x=x/2 + else: + x=(x*3)+1 + count+=1 + return count +print(sequence(13)) +maxval, maxcount = 0,0 +for x in range(1000000,100000,-1): + currentSequence = sequence(x) + if currentSequence > maxcount: + maxcount = currentSequence + maxval = x + print(maxval,"with max sequence count of:",maxcount)
\ No newline at end of file diff --git a/Problem15.py b/Problem15.py new file mode 100644 index 0000000..5bc1d1e --- /dev/null +++ b/Problem15.py @@ -0,0 +1,15 @@ +counter = 0 +size = 20 +def lattice(x,y): + global counter + if x > 0: #moves right + lattice(x-1,y) + counter+=1 + if y > 0: #moves down + lattice(x,y-1) + counter+=1 + print(counter) +lattice(size,size) +print(counter/(size+1)) +input("") + diff --git a/Problem16.py b/Problem16.py new file mode 100644 index 0000000..e46112c --- /dev/null +++ b/Problem16.py @@ -0,0 +1,6 @@ +import math +numstring = str(pow(2,1000)) +sum = 0 +for x in range(0,len(numstring)): + sum += int(numstring[x]) +print(sum)
\ No newline at end of file diff --git a/Problem17.py b/Problem17.py new file mode 100644 index 0000000..a220e88 --- /dev/null +++ b/Problem17.py @@ -0,0 +1,97 @@ +def lettercountofnum(n): + count = 0 + if len(str(n)) == 3: + if str(n)[0] == "9": + count = 11 + elif str(n)[0] == "8": + count = 12 + elif str(n)[0] == "7": + count = 12 + elif str(n)[0] == "6": + count = 10 + elif str(n)[0] == "5": + count = 11 + elif str(n)[0] == "4": + count = 11 + elif str(n)[0] == "3": + count = 12 + elif str(n)[0] == "2": + count = 10 + else: + count = 10 + if (str(n)[1] != "0") or (str(n)[2] != "0"): #handle "and" + count+=3 + n = n - int(str(n)[0])*100 + if len(str(n)) == 2: + if str(n)[0] == "9": + count += 6 + elif str(n)[0] == "8": + count += 6 + elif str(n)[0] == "7": + count += 7 + elif str(n)[0] == "6": + count += 5 + elif str(n)[0] == "5": + count += 5 + elif str(n)[0] == "4": + count += 5 + elif str(n)[0] == "3": + count += 6 + elif str(n)[0] == "2": + count += 6 + elif str(n)[0] == "1": #handle "teens" then exit + if str(n)[1] == "9": + count += 8 + return count + elif str(n)[1] == "8": + count += 8 + return count + elif str(n)[1] == "7": + count += 9 + return count + elif str(n)[1] == "6": + count += 7 + return count + elif str(n)[1] == "5": + count += 7 + return count + elif str(n)[1] == "4": + count += 8 + return count + elif str(n)[1] == "3": + count += 8 + return count + elif str(n)[1] == "2": + count += 6 + return count + elif str(n)[1] == "1": + count += 6 + return count + else: + count += 3 + n = n - int(str(n)[0])*10 + if len(str(n)) == 1: + if str(n)[0] == "9": + count += 4 + elif str(n)[0] == "8": + count += 5 + elif str(n)[0] == "7": + count += 5 + elif str(n)[0] == "6": + count += 3 + elif str(n)[0] == "5": + count += 4 + elif str(n)[0] == "4": + count += 4 + elif str(n)[0] == "3": + count += 5 + elif str(n)[0] == "2": + count += 3 + elif str(n)[0] == "1": + count += 3 + + return count +count = 0 +for x in range(1,1000): + count += lettercountofnum(x) +print(count)
\ No newline at end of file diff --git a/Problem2.py b/Problem2.py new file mode 100644 index 0000000..6dd8f67 --- /dev/null +++ b/Problem2.py @@ -0,0 +1,10 @@ +a, b = 1, 2 +sum = 0 +while a < 4000000: + print(a) + if a % 2 == 0: + sum = sum + a + a, b = b, a+b +print(sum) + + diff --git a/Problem20.py b/Problem20.py new file mode 100644 index 0000000..6b64cd6 --- /dev/null +++ b/Problem20.py @@ -0,0 +1,10 @@ +def factorial(n): + if n > 1: + return n*factorial(n-1) + else: + return 1 +factorialString = str(factorial(100)) +count = 0 +for x in range(0,len(factorialString)): + count += int(factorialString[x]) +print(count)
\ No newline at end of file diff --git a/Problem21.py b/Problem21.py new file mode 100644 index 0000000..42632be --- /dev/null +++ b/Problem21.py @@ -0,0 +1,17 @@ +def amicablesum(n): + sum = 0 + sum2 = 0 + for x in range(1,int(n/2)+1): + if n%x==0: + sum+=x + for x in range(1, int(sum/2)+1): + if sum%x==0: + sum2 +=x + if (n!=sum)and(sum2 == n): return n + else: return 0 +sumcounter = 0 +for x in range(1,10000): + sumcounter += amicablesum(x) + print(sumcounter) +print("final sum of amicable numbers is:" ,sumcounter) + diff --git a/Problem22.py b/Problem22.py new file mode 100644 index 0000000..5684a46 --- /dev/null +++ b/Problem22.py @@ -0,0 +1,76 @@ +#UNFINISHED +names = open(r"C:\Users\30720\Desktop\Programming\ProjectEuler\names.txt","r+") +namesasstring = names.read() +nameslist = [] +order = [] +temp = "" +sorted = placed = False +count,total,x = 0,0,0 +x = namesasstring.find("\"",x,len(namesasstring)) + 1 +while x < len(namesasstring): + y = namesasstring.find("\"",x,len(namesasstring)) + for i in range(x,y): + temp = temp + namesasstring[i] + if namesasstring[x] == "A": nameslist.insert(0,temp) + elif namesasstring[x] == "B": nameslist.insert(1,temp) + elif namesasstring[x] == "C": nameslist.insert(2,temp) + elif namesasstring[x] == "D": nameslist.insert(3,temp) + elif namesasstring[x] == "E": nameslist.insert(4,temp) + elif namesasstring[x] == "F": nameslist.insert(5,temp) + elif namesasstring[x] == "G": nameslist.insert(6,temp) + elif namesasstring[x] == "H": nameslist.insert(7,temp) + elif namesasstring[x] == "I": nameslist.insert(8,temp) + elif namesasstring[x] == "J": nameslist.insert(9,temp) + elif namesasstring[x] == "K": nameslist.insert(10,temp) + elif namesasstring[x] == "L": nameslist.insert(11,temp) + elif namesasstring[x] == "M": nameslist.insert(12,temp) + elif namesasstring[x] == "N": nameslist.insert(13,temp) + elif namesasstring[x] == "O": nameslist.insert(14,temp) + elif namesasstring[x] == "P": nameslist.insert(15,temp) + elif namesasstring[x] == "Q": nameslist.insert(16,temp) + elif namesasstring[x] == "R": nameslist.insert(17,temp) + elif namesasstring[x] == "S": nameslist.insert(18,temp) + elif namesasstring[x] == "T": nameslist.insert(19,temp) + elif namesasstring[x] == "U": nameslist.insert(20,temp) + elif namesasstring[x] == "V": nameslist.insert(21,temp) + elif namesasstring[x] == "W": nameslist.insert(22,temp) + elif namesasstring[x] == "X": nameslist.insert(23,temp) + elif namesasstring[x] == "Y": nameslist.insert(24,temp) + elif namesasstring[x] == "Z": nameslist.insert(25,temp) + + temp = "" + x = y+2 +nameslist.sort +print(nameslist[2]) +for x in range(0,len(nameslist)): + + + +# for i in range(x,y): +# if namesasstring[i] == "A": num=num+1 +# elif namesasstring[i] == "B": num=num+2 +# elif namesasstring[i] == "C": num=num+3 +# elif namesasstring[i] == "D": num=num+4 +# elif namesasstring[i] == "E": num=num+5 +# elif namesasstring[i] == "F": num=num+6 +# elif namesasstring[i] == "G": num=num+7 +# elif namesasstring[i] == "H": num=num+8 +# elif namesasstring[i] == "I": num=num+9 +# elif namesasstring[i] == "J": num=num+10 +# elif namesasstring[i] == "K": num=num+11 +# elif namesasstring[i] == "L": num=num+12 +# elif namesasstring[i] == "M": num=num+13 +# elif namesasstring[i] == "N": num=num+14 +# elif namesasstring[i] == "O": num=num+15 +# elif namesasstring[i] == "P": num=num+16 +# elif namesasstring[i] == "Q": num=num+17 +# elif namesasstring[i] == "R": num=num+18 +# elif namesasstring[i] == "S": num=num+19 +# elif namesasstring[i] == "T": num=num+20 +# elif namesasstring[i] == "U": num=num+21 +# elif namesasstring[i] == "V": num=num+22 +# elif namesasstring[i] == "W": num=num+23 +# elif namesasstring[i] == "X": num=num+24 +# elif namesasstring[i] == "Y": num=num+25 +# elif namesasstring[i] == "Z": num=num+26 +# total += num*count
\ No newline at end of file diff --git a/Problem23.py b/Problem23.py new file mode 100644 index 0000000..00fd3a7 --- /dev/null +++ b/Problem23.py @@ -0,0 +1,24 @@ +#Unfinished +def isAbundant(n): + sum = 0 + for x in range(1,int(n/2)+1): + if n%x == 0: + sum+=x + if sum > n: + return True + else: + return False +abundantList = [] +sumabundants = positivesum = 0 +for x in range(1,28123): + if isAbundant(x): + abundantList.append(x) +print(abundantList) +for x in range(0,len(abundantList)-1): + for y in range(x+1,len(abundantList)): + sumabundants+=abundantList[x]+abundantList[y] + print(sumabundants) +for x in range(2,28123,2): + sum+=x +print(positivesum-sumabundants) +input("kekw")
\ No newline at end of file diff --git a/Problem25.py b/Problem25.py new file mode 100644 index 0000000..277f94c --- /dev/null +++ b/Problem25.py @@ -0,0 +1,12 @@ +#Finished 9/8/21 07:26 +def fib(n): + x,y,z,count = 1,1,0,2 + while len(str(z)) < n: + z = x+y + x = y + y = z + #print(z) + count+=1 + return count +print(fib(1000)) + diff --git a/Problem26.py b/Problem26.py new file mode 100644 index 0000000..8c57161 --- /dev/null +++ b/Problem26.py @@ -0,0 +1,25 @@ +from decimal import * +getcontext().prec = 30 +def repeatingelement(n): + power = reoccuringlength(n) + return int(pow(10,power)/n) +def reoccuringlength(n): + n = str(Decimal(1)/Decimal(n))[2:] + vals = [0] + maxlength,posy, posx = 0,0,0 + for x in range(0,int(len(n)/2)+1): + for y in range(0,x): + if n.count(n[y:x]) > 1 and (x-y) > maxlength: + vals.append(n[y:x]) + maxlength = (x-y) + return maxlength + +maxrecurringcycle,maxval = 0,0 +for x in range(2,1000): + if repeatingelement(x) > maxrecurringcycle: + maxrecurringcycle = repeatingelement(x) + maxval = x +print(maxval) +print(repeatingelement(7)) + +#Answer is 983 diff --git a/Problem3.py b/Problem3.py new file mode 100644 index 0000000..acfe7b3 --- /dev/null +++ b/Problem3.py @@ -0,0 +1,24 @@ +def isPrime(x): + factorlist = [] + for n in range(1 , x+1): + if x % n == 0: + factorlist.append(n) + #print(len(factorlist)) + if len(factorlist) == 2: + return True + else: + return False + + +def primeFactors(x): + factorlist = [] + for n in range(1 , int(x/2)): + if x % n == 0: + if isPrime(n): + factorlist.append(n) + print(n) + print("Done!") + #print(len(factorlist)) + +primeFactors(600851475143) +#print(isPrime(5))
\ No newline at end of file diff --git a/Problem34.py b/Problem34.py new file mode 100644 index 0000000..07d7146 --- /dev/null +++ b/Problem34.py @@ -0,0 +1,20 @@ +#completed on 9/13/2021 15:26 +def factorial(n): + for x in range(2,n): + n = n*x + return n +def factorialSum(n): + m,sum = str(n),0 + for x in range(0,len(m)): + if int(m[x]) == 0: + sum += 1 + else: + sum += factorial(int(m[x])) + if sum > n: return False + if sum == n: return True + else: return False +sum = 0 +for x in range(10,2540161,1): + if factorialSum(x) == True: + sum += x +print("Solution is:" ,sum) diff --git a/Problem35.py b/Problem35.py new file mode 100644 index 0000000..5dd9049 --- /dev/null +++ b/Problem35.py @@ -0,0 +1,33 @@ +import math +def rotate(n): + n = str(n) + m = "" + m+=n[len(n)-1] + for x in range(0,len(n)-1): + m+=n[x] + return int(m) +def isPrime(n): + for x in range(2,int(math.sqrt(n)+1)): + if n%x == 0: return False + return True +def nextPrime(n): + n-=1 + while isPrime(n) == False: + n-=1 + return n +def areRotationsPrime(n): + m = rotate(n) + if isPrime(n) == False: return False + while(m != n): + if isPrime(m) == False: return False + else: m = rotate(m) + return True +n, count = nextPrime(1000000), 0 +while(n > 1): + if areRotationsPrime(n) == True: + count+=1 + print(n) + n = nextPrime(n) +print("The Answer is:",count) + + diff --git a/Problem36.py b/Problem36.py new file mode 100644 index 0000000..98e898c --- /dev/null +++ b/Problem36.py @@ -0,0 +1,16 @@ +#Completed 9/13/2021 14:26 +def isPalindrome(n): + n = list(str(n)) + m = list(reversed(n)) + if n == m: + return True + else: + return False +def isBitPalindrome(n): + n = str(bin(n)) + return isPalindrome(n[2:]) +count = 0 +for x in range(1, 1000000): + if(isPalindrome(x) and isBitPalindrome(x)): + count+=x +print("Answer is:", count)
\ No newline at end of file diff --git a/Problem37.py b/Problem37.py new file mode 100644 index 0000000..cd7bc98 --- /dev/null +++ b/Problem37.py @@ -0,0 +1,34 @@ +#Completed oon 9/13/2021 14:29 +import math +def isPrime(n): + if n < 2: return False + for x in range(2,int(math.sqrt(n)+1)): + if n%x == 0: return False + return True +def nextPrime(n): + n+=1 + while isPrime(n) == False: + n+=1 + return n +def truncatable(n): + n = str(n) + for x in range(0,len(n)): + m = "" + for y in range(0,len(n)-x): + m += n[y] + if isPrime(int(m)) == False: return False + #repeat but left to right + for x in range(0,len(n)): + m = "" + for y in range(x,len(n)): + m += n[y] + if isPrime(int(m)) == False: return False + return True +sum,count,x = 0,0,nextPrime(7) +while count < 11: + if truncatable(x) == True: + sum += x + count += 1 + x = nextPrime(x) +print("Answer is:", sum) +
\ No newline at end of file diff --git a/Problem38.py b/Problem38.py new file mode 100644 index 0000000..fdcfeb5 --- /dev/null +++ b/Problem38.py @@ -0,0 +1,22 @@ +#Completed 9/13/2021 13:48 +import math +def isPandigital(n): + n = str(n) + for x in range(0,len(n)): + if n.count(n[x]) > 1 or n.count("0") != 0: + return False + else: continue + return True +def multiply(n): + m= str(n) + y = 0 + if len(m) == 2: y = 5 + elif len(m) == 3: y = 4 + elif len(m) == 4: y = 3 + for x in range(2, y): + m+= str(n*x) + return int(m) +max = 0 +for x in range(1,10000): + if isPandigital(multiply(x)) == True and multiply(x) > max: max = multiply(x) +print("Answer is:", max)
\ No newline at end of file diff --git a/Problem39.py b/Problem39.py new file mode 100644 index 0000000..8666f1b --- /dev/null +++ b/Problem39.py @@ -0,0 +1,21 @@ +#Completed 9/13/2021 13:16 +import math +def rightTriangleSides(n): + a,b,c = 0,0,0 + count = 0 + for a in range(0,int(n/3)): + for b in range(a,int(n/2)): + c = math.sqrt((a*a)+(b*b)) + if (a+b+c)==n: + count+=1 + return count +max = 0 +value = 0 +for x in range(0,1000): + if rightTriangleSides(x) > max: + max = rightTriangleSides(x) + value = x + print(max) +print("The value for which the number of solutions is maximised is:", value) + + diff --git a/Problem4.py b/Problem4.py new file mode 100644 index 0000000..2cd056d --- /dev/null +++ b/Problem4.py @@ -0,0 +1,14 @@ +def ispalandrome(n): + n = list(str(n)) + m = list(reversed(n)) + if n == m: + return True + else: + return False +largestpalindrome = 0 +for x in range(100,1000): + for y in range(100,1000): + if ispalandrome(x*y) and (x*y > largestpalindrome): + largestpalindrome = (x*y) + +print(largestpalindrome) diff --git a/Problem40.py b/Problem40.py new file mode 100644 index 0000000..966118d --- /dev/null +++ b/Problem40.py @@ -0,0 +1,7 @@ +#Completed 9/10/2021 1:50PM +count,x = 1,1 +numstring = "0" +while len(numstring) <= 1000000: + numstring += str(x) + x+=1 +print(int(numstring[1])*int(numstring[10])*int(numstring[100])*int(numstring[1000])*int(numstring[10000])*int(numstring[100000])*int(numstring[1000000])) diff --git a/Problem41.py b/Problem41.py new file mode 100644 index 0000000..72bcbac --- /dev/null +++ b/Problem41.py @@ -0,0 +1,30 @@ +import math +def isPandigital(n): + n = str(n) + for x in range(0,len(n)): + if n.count(n[x]) > 1 or n.count("0") != 0: + return False + else: continue + return True +def isPrime(n): + for x in range(2,int(math.sqrt(n))): + if n%x == 0: return False + return True +def nextPrime(n): + n-=1 + while isPrime(n) == False: + n-=1 + return n + +x = 7654320 +while(x > 2): + if isPandigital(x): + print("Answer is:",x) + break + x = nextPrime(x) + print(x) + + + + +
\ No newline at end of file diff --git a/Problem42.py b/Problem42.py new file mode 100644 index 0000000..febbe7c --- /dev/null +++ b/Problem42.py @@ -0,0 +1,45 @@ +def Triangle(n): + return (n*(n+1))/2 +words = open(r"C:\Users\30720\Desktop\Programming\ProjectEuler\words.txt","r+") +wordsasstring = words.read() +Triangles = [] +for x in range(1,10000): + Triangles.append(Triangle(x)) +count,x,total = 0,0,0 +x = wordsasstring.find("\"",x,len(wordsasstring)) + 1 +print(x) +while x < len(wordsasstring): + num = 0 + y = wordsasstring.find("\"",x,len(wordsasstring)) + for i in range(x,y): + temp = wordsasstring[i] + if temp == "A": num += 1 + elif temp == "B": num += 2 + elif temp == "C": num += 3 + elif temp == "D": num += 4 + elif temp == "E": num += 5 + elif temp == "F": num += 6 + elif temp == "G": num += 7 + elif temp == "H": num += 8 + elif temp == "I": num += 9 + elif temp == "J": num += 10 + elif temp == "K": num += 11 + elif temp == "L": num += 12 + elif temp == "M": num += 13 + elif temp == "N": num += 14 + elif temp == "O": num += 15 + elif temp == "P": num += 16 + elif temp == "Q": num += 17 + elif temp == "R": num += 18 + elif temp == "S": num += 19 + elif temp == "T": num += 20 + elif temp == "U": num += 21 + elif temp == "V": num += 22 + elif temp == "W": num += 23 + elif temp == "X": num += 24 + elif temp == "Y": num += 25 + elif temp == "Z": num += 26 + x = y+3 + if Triangles.count(num) > 0: total +=1 + print(total) +
\ No newline at end of file diff --git a/Problem43.py b/Problem43.py new file mode 100644 index 0000000..02f7c02 --- /dev/null +++ b/Problem43.py @@ -0,0 +1,40 @@ +perm = [0,1,2,3,4,5,6,7,8,9] +divisors = [1,2,3,5,7,11,13,17] +def swap(i,j): + k = perm[i] + perm[i] = perm[j] + perm[j] = k +result = 0 +count,max = 1,3265920 +while count < max: + N = len(perm) + i = N - 1 + while(perm[i-1] >= perm[i]): + i = i - 1 + j = N + while perm[j - 1] <= perm[i -1]: + j = j - 1 + swap(i - 1, j - 1) + i+=1 + j=N + while(i < j): + swap(i - 1, j - 1) + i+=1 + j-=1 + divisible = True + for x in range(1,len(divisors)): + num = 100 * perm[x] + 10 * perm[x+1] + perm[x+2] + if num % divisors[x] != 0: + divisible = False + break + if (divisible): + num = 0 + for x in range(0,len(perm)): + num = 10*num +perm[x] + result += num + count+=1 +print(result) + + + + diff --git a/Problem44.py b/Problem44.py new file mode 100644 index 0000000..4824b01 --- /dev/null +++ b/Problem44.py @@ -0,0 +1,21 @@ +#Works, but is rather slow +def Pentagon(n): + return n*((3*n)-1)/2 +pentagons = [] +for x in range(1,10000): + pentagons.append(Pentagon(x)) +count = 1 +run = True +while (run): + for x in range(1,count+1): + if pentagons.count(pentagons[count] - pentagons[count-x]) >0 and pentagons.count(pentagons[count] + pentagons[count-x])>0: + print(pentagons[count],"|",pentagons[count - x], "\tDifference D is:", abs(pentagons[count] - pentagons[count-x])) + run = False + #print(pentagons[count] - pentagons[count-x]) + count+=1 + pentagons.append(Pentagon(count+9998)) + + + + +
\ No newline at end of file diff --git a/Problem45.py b/Problem45.py new file mode 100644 index 0000000..6724a2d --- /dev/null +++ b/Problem45.py @@ -0,0 +1,27 @@ +def Triangle(n): + return (n*(n+1))/2 +def Pentagon(n): + return n*((3*n)-1)/2 +def Hexagonal(n): + return n*((2*n)-1) +triangles = [] +pentagons = [] +hexagons = [] +triangles.append(Triangle(1)) +pentagons.append(Pentagon(1)) +hexagons.append(Hexagonal(1)) +x = 2 +while (pentagons.count(Triangle(x)) == 0) or (hexagons.count(Triangle(x)) == 0): + x+=1 + triangles.append(Triangle(x)) + pentagons.append(Pentagon(x)) + hexagons.append(Hexagonal(x)) +print(Triangle(x)) +#Run loop again to obtain next value +x+=1 +while (pentagons.count(Triangle(x)) == 0) or (hexagons.count(Triangle(x)) == 0): + x+=1 + triangles.append(Triangle(x)) + pentagons.append(Pentagon(x)) + hexagons.append(Hexagonal(x)) +print(Triangle(x)) diff --git a/Problem46.py b/Problem46.py new file mode 100644 index 0000000..ecdba11 --- /dev/null +++ b/Problem46.py @@ -0,0 +1,31 @@ +#Joshua Drake 9/9/2021 +import math +def isPrime(n): + for x in range(2,int(n/2)+1): + if n%x == 0: return False + return True +def nextprime(n): + n+=1 + while isPrime(n) == False: + n+=1 + return n +def isComposite(n): + if isPrime(n) == False: return True + else: return False +def nextOddComposite(n): + newcomposite = n+1 + while isComposite(newcomposite) == False or newcomposite % 2 == 0: + newcomposite+=1 + return newcomposite +composite,prime = 9,2 +while(1): + prime = 2 + while prime < composite: + for square in range(1,int(math.sqrt(composite))+1): + if prime + (2*pow(square,2)) == composite: + composite = nextOddComposite(composite) + prime = 2 + break + prime = nextprime(prime) + print("Answer is:" , composite) + break
\ No newline at end of file diff --git a/Problem47.py b/Problem47.py new file mode 100644 index 0000000..5da614d --- /dev/null +++ b/Problem47.py @@ -0,0 +1,20 @@ +def isPrime(n): + for x in range(2,int(n/2)+1): + if n%x == 0: return False + return True +def fourPrimeFactors(n): + multiples = [] + for x in range(2,int(n/2)+1): + if n%x == 0: multiples.append(x) + if(len(multiples)<4): return False + primecount,counter = 0,0 + while counter < len(multiples): + if primecount >=4: return True + if isPrime(multiples[counter]): primecount+=1 + counter+=1 + return False +for x in range(3,1000000): + if fourPrimeFactors(x) == True and fourPrimeFactors(x-1) == True and fourPrimeFactors(x-2) == True and fourPrimeFactors(x-3) == True: + print(x-3) + break + diff --git a/Problem48.py b/Problem48.py new file mode 100644 index 0000000..0fdf2e9 --- /dev/null +++ b/Problem48.py @@ -0,0 +1,6 @@ +def selfpowers(n): + sum = 0 + for x in range(1,n+1): + sum += pow(x,x) + return sum +print(str(selfpowers(1000)))
\ No newline at end of file diff --git a/Problem49.py b/Problem49.py new file mode 100644 index 0000000..f4576be --- /dev/null +++ b/Problem49.py @@ -0,0 +1,21 @@ +def isPrime(n): + for x in range(2,int(n/2)+1): + if n%x == 0: return False + return True +def permprimes(n): + strn = str(n) + perms = [] + primes = [] + perms.append(int(strn[0]+strn[1]+strn[2]+strn[3])) + perms.append(int(strn[0]+strn[2]+strn[1]+strn[3])) + perms.append(int(strn[1]+strn[0]+strn[2]+strn[3])) + perms.append(int(strn[1]+strn[2]+strn[0]+strn[3])) + perms.append(int(strn[2]+strn[1]+strn[0]+strn[3])) + perms.append(int(strn[2]+strn[0]+strn[1]+strn[3])) + for x in range(0,len(perms)): + if isPrime(perms[x]): primes.append(perms[x]) + return primes +for x in range(1000,10000): + if len(permprimes(x)) < 3: continue + if (permprimes(x).count(x+3330) > 0) and (permprimes(x).count(x+6660) > 0): + print(str(x)+str(x+3330)+str(x+6660)) diff --git a/Problem5.py b/Problem5.py new file mode 100644 index 0000000..81b063c --- /dev/null +++ b/Problem5.py @@ -0,0 +1,18 @@ +def isdivisible(n): + divisors = [19,18,17,16,15,14,13,11] + for x in range(0,8): #Checks if value is divisible by numbers 2-20 (1 is not necessary to check) + if n % divisors[x] != 0: + return False + return True +valuefound = False +counter = 20 +while valuefound == False: + if isdivisible(counter) == True: + valuefound == True + print("**Result**:",counter) + break + else: + print(counter) + counter+=20 #increment by the largest required multiple + + diff --git a/Problem50.py b/Problem50.py new file mode 100644 index 0000000..0bae099 --- /dev/null +++ b/Problem50.py @@ -0,0 +1,18 @@ +def isPrime(n): + for x in range(2,int(n/2)+1): + if n%x == 0: return False + return True +def nextprime(n): + n+=1 + while isPrime(n) == False: + n+=1 + return n +maxsum = 0 +primes = [] +for x in {2,5,7,11,13}: + sum = 0 + while sum <1000000: + sum += x + x = nextprime(x) + if isPrime(sum) and (sum > maxsum) and (sum < 1000000): maxsum = sum +print(maxsum) diff --git a/Problem51.py b/Problem51.py new file mode 100644 index 0000000..da9410c --- /dev/null +++ b/Problem51.py @@ -0,0 +1,38 @@ +#Unfinished +import math +def isPrime(n): + if n < 2: return False + for x in range(2,int(math.sqrt(n)+1)): + if n%x == 0: return False + return True +def nextPrime(n): + n+=1 + while isPrime(n) == False: + n+=1 + return n +def countReplacementPrimes(n): + strn = str(n) + primecount = 0 + m = "" + largestPrimeCount = 0 + for x in range(0,len(strn)): #selects position to be swapped + primecount = 0 + for replacementValue in range(0, 10): #increments replacement value + m = "" + for y in range(0,len(strn)): #selects location within passed number + if y == x: + m += str(replacementValue) + else: + m += strn[y] + if(isPrime(int(m))) == True: primecount +=1 + if primecount == 8: return True + return False +print(countReplacementPrimes(121313)) +#print(isPrime(int("70"))) +# x = nextPrime(0) +# while countReplacementPrimes(x) == False: +# x = nextPrime(x) +# print(x) + + +
\ No newline at end of file diff --git a/Problem52.py b/Problem52.py new file mode 100644 index 0000000..664a8d6 --- /dev/null +++ b/Problem52.py @@ -0,0 +1,14 @@ +def sharesdigits(n): + numstring = str(n) + two,three,four,five,six = str(2*n),str(3*n),str(4*n),str(5*n),str(6*n) + for x in range(0,len(numstring)): + if numstring.count(numstring[x]) != two.count(numstring[x]): return False + elif numstring.count(numstring[x]) != three.count(numstring[x]): return False + elif numstring.count(numstring[x]) != four.count(numstring[x]): return False + elif numstring.count(numstring[x]) != five.count(numstring[x]): return False + elif numstring.count(numstring[x]) != six.count(numstring[x]): return False + return True +x = 1 +while sharesdigits(x) == False: + x+=1 +print(x)
\ No newline at end of file diff --git a/Problem55.py b/Problem55.py new file mode 100644 index 0000000..2ce11cb --- /dev/null +++ b/Problem55.py @@ -0,0 +1,18 @@ +def isPalindrome(n): + if n == int(str(n)[::-1]): return True + return False +def isLychrel(n): + revn = int(str(n)[::-1]) + n += revn + count = 0 + while isPalindrome(n) == False: + if count >= 50: return True + revn = int(str(n)[::-1]) + n += revn + count+=1 + return False + +count = 0 +for x in range(1,10000): + if isLychrel(x): count+=1 +print(count)
\ No newline at end of file diff --git a/Problem56.py b/Problem56.py new file mode 100644 index 0000000..f02667f --- /dev/null +++ b/Problem56.py @@ -0,0 +1,11 @@ +maxsum = 0 +for a in range(0,100): + for b in range(0,100): + count = 0 + temp = str(pow(a,b)) + for x in range(0,len(temp)): + count += int(temp[x]) + if count > maxsum: maxsum = count +print(maxsum) + + diff --git a/Problem57.py b/Problem57.py new file mode 100644 index 0000000..bfda522 --- /dev/null +++ b/Problem57.py @@ -0,0 +1,9 @@ +#unfinished +def halve(iteratations): + half = 1 + n = 1/2 + for x in range(0,iteratations): + n = n/2 + half = half + return 1 + n +print(halve(0))
\ No newline at end of file diff --git a/Problem6.py b/Problem6.py new file mode 100644 index 0000000..78d7958 --- /dev/null +++ b/Problem6.py @@ -0,0 +1,11 @@ +def sumofsquares(n): + sum = 0 + for x in range(1,n+1): + sum+=(x*x) + return sum +def squareofsum(n): + sum = 0 + for x in range(1,n+1): + sum+=x + return (sum*sum) +print(squareofsum(100) - sumofsquares(100)) diff --git a/Problem7.py b/Problem7.py new file mode 100644 index 0000000..f1204a8 --- /dev/null +++ b/Problem7.py @@ -0,0 +1,15 @@ +def isprime(n): + divisiors = [] + for x in range(2,(n)): + if n%x == 0: + return False + return True +counter = 0 +x = 2 +while counter != 10001: + if isprime(x): + counter+=1 + print("prime number", counter, "is", x) + x+=1 +k=input("press close to exit") + diff --git a/Problem8.py b/Problem8.py new file mode 100644 index 0000000..51949db --- /dev/null +++ b/Problem8.py @@ -0,0 +1,6 @@ +thoudigitstring = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450" +maxval = 0 +for x in range(0,(1000-13)): + if (int(thoudigitstring[x])*int(thoudigitstring[x+1])*int(thoudigitstring[x+2])*int(thoudigitstring[x+3])*int(thoudigitstring[x+4])*int(thoudigitstring[x+5])*int(thoudigitstring[x+6])*int(thoudigitstring[x+7])*int(thoudigitstring[x+8])*int(thoudigitstring[x+9])*int(thoudigitstring[x+10])*int(thoudigitstring[x+11])*int(thoudigitstring[x+12])) > maxval: + maxval = int(thoudigitstring[x])*int(thoudigitstring[x+1])*int(thoudigitstring[x+2])*int(thoudigitstring[x+3])*int(thoudigitstring[x+4])*int(thoudigitstring[x+5])*int(thoudigitstring[x+6])*int(thoudigitstring[x+7])*int(thoudigitstring[x+8])*int(thoudigitstring[x+9])*int(thoudigitstring[x+10])*int(thoudigitstring[x+11])*int(thoudigitstring[x+12]) +print(maxval)
\ No newline at end of file diff --git a/Problem9.py b/Problem9.py new file mode 100644 index 0000000..eb00757 --- /dev/null +++ b/Problem9.py @@ -0,0 +1,12 @@ +import math +AValue = 0 +BValue = 0 +CValue = 0 +for a in range(1,500): + for b in range(a,1000): + c = math.sqrt((a*a)+(b*b)) + if a+b+c == 1000: + AValue = a + BValue = b + CValue = c +print(AValue*BValue*CValue) diff --git a/Problem97.py b/Problem97.py new file mode 100644 index 0000000..2d8a5f8 --- /dev/null +++ b/Problem97.py @@ -0,0 +1,9 @@ +#unfinished +import math +count = 1 +# for n in range(1,7830458): +# count = count*2 +# print(n/7830458) +n = 28433*(pow(2,7830457))+1 +n = str(n) +print(n)
\ No newline at end of file diff --git a/names.txt b/names.txt new file mode 100644 index 0000000..7b8986b --- /dev/null +++ b/names.txt @@ -0,0 +1 @@ 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