def main(): s = time.time() a_list = range(1, 10000) b_list = range(100, 10000) pan_list = [] for a in a_list: for b in b_list: product = a * b p_length = mwmath.count_digits(product) + mwmath.count_digits( a) + mwmath.count_digits(b) if p_length < 9: continue if p_length > 9: break full_term = int(str(a) + str(b) + str(product)) if mwmath.is_pandigital(full_term): if not product in pan_list: pan_list.append(product) return [sum(pan_list), time.time() - s]
def main(): s = time.time() a_list = range(1,10000) b_list = range(100,10000) pan_list = [] for a in a_list: for b in b_list: product = a*b p_length = mwmath.count_digits(product)+mwmath.count_digits(a)+mwmath.count_digits(b) if p_length<9: continue if p_length>9: break full_term = int(str(a)+str(b)+str(product)) if mwmath.is_pandigital(full_term): if not product in pan_list: pan_list.append(product) return [sum(pan_list),time.time()-s]
def main(): t = time.time() cf_list = mwmath.build_sqrt2_continued_fraction_terms(999) print time.time()-t count = 0; #print cf_list for ii in cf_list: act_term = mwmath.get_actual_sqrt2_cf(ii[0],ii[1]) if mwmath.count_digits(act_term[0])>mwmath.count_digits(act_term[1]): #print act_term count = count + 1 print time.time()-t return count
def main(): t = time.time() cf_list = mwmath.build_sqrt2_continued_fraction_terms(999) print time.time() - t count = 0 #print cf_list for ii in cf_list: act_term = mwmath.get_actual_sqrt2_cf(ii[0], ii[1]) if mwmath.count_digits(act_term[0]) > mwmath.count_digits(act_term[1]): #print act_term count = count + 1 print time.time() - t return count
def find_circ_primes(N): c_primes = [] potential_primes_1 = [2, 3] ii = 1 while 6 * ii <= (N): potential_primes_1.append(6 * ii - 1) potential_primes_1.append(6 * ii + 1) ii += 1 potential_primes_2 = [2, 5] for kk in potential_primes_1: if mwmath.circ_digit_check(kk) and mwmath.is_prime(kk): potential_primes_2.append(kk) for jj in potential_primes_2: new_p = jj p_check = True rotations = mwmath.count_digits(jj) - 1 while p_check and rotations > 0: new_p = mwmath.rotate_digits(new_p) p_check = mwmath.is_prime(new_p) rotations -= 1 if p_check: c_primes.append(jj) return c_primes
def find_circ_primes(N): c_primes = [] potential_primes_1 = [2,3] ii = 1 while 6*ii<=(N): potential_primes_1.append(6*ii-1) potential_primes_1.append(6*ii+1) ii+=1 potential_primes_2 = [2,5] for kk in potential_primes_1: if mwmath.circ_digit_check(kk) and mwmath.is_prime(kk): potential_primes_2.append(kk) for jj in potential_primes_2: new_p = jj p_check = True rotations = mwmath.count_digits(jj)-1 while p_check and rotations>0: new_p = mwmath.rotate_digits(new_p) p_check=mwmath.is_prime(new_p) rotations-=1 if p_check: c_primes.append(jj) return c_primes
def find_first_N_length_fibb(N): ii = 4 fib_a = 1 fib_b = 2 while True: fib_c = fib_a + fib_b fib_count = mwmath.count_digits(fib_c) if fib_count == N: return ii break ii += 1 fib_a = fib_b fib_b = fib_c
def find_first_N_length_fibb(N): ii=4 fib_a = 1 fib_b = 2 while True: fib_c = fib_a+fib_b fib_count = mwmath.count_digits(fib_c) if fib_count==N: return ii break ii+=1 fib_a = fib_b fib_b = fib_c
import math import mwmath import time s = time.time() a_list = range(1, 10000) b_list = range(100, 10000) pan_list = [] for a in a_list: for b in b_list: product = a * b p_length = mwmath.count_digits(product) + mwmath.count_digits( a) + mwmath.count_digits(b) if p_length < 9: continue if p_length > 9: break full_term = int(str(a) + str(b) + str(product)) if mwmath.is_pandigital(full_term): if not product in pan_list: pan_list.append(product) print sum(pan_list) print time.time() - s
def main(): s = time.time() A = [ 37107287533902102798797998220837590246510135740250, 46376937677490009712648124896970078050417018260538, 74324986199524741059474233309513058123726617309629, 91942213363574161572522430563301811072406154908250, 23067588207539346171171980310421047513778063246676, 89261670696623633820136378418383684178734361726757, 28112879812849979408065481931592621691275889832738, 44274228917432520321923589422876796487670272189318, 47451445736001306439091167216856844588711603153276, 70386486105843025439939619828917593665686757934951, 62176457141856560629502157223196586755079324193331, 64906352462741904929101432445813822663347944758178, 92575867718337217661963751590579239728245598838407, 58203565325359399008402633568948830189458628227828, 80181199384826282014278194139940567587151170094390, 35398664372827112653829987240784473053190104293586, 86515506006295864861532075273371959191420517255829, 71693888707715466499115593487603532921714970056938, 54370070576826684624621495650076471787294438377604, 53282654108756828443191190634694037855217779295145, 36123272525000296071075082563815656710885258350721, 45876576172410976447339110607218265236877223636045, 17423706905851860660448207621209813287860733969412, 81142660418086830619328460811191061556940512689692, 51934325451728388641918047049293215058642563049483, 62467221648435076201727918039944693004732956340691, 15732444386908125794514089057706229429197107928209, 55037687525678773091862540744969844508330393682126, 18336384825330154686196124348767681297534375946515, 80386287592878490201521685554828717201219257766954, 78182833757993103614740356856449095527097864797581, 16726320100436897842553539920931837441497806860984, 48403098129077791799088218795327364475675590848030, 87086987551392711854517078544161852424320693150332, 59959406895756536782107074926966537676326235447210, 69793950679652694742597709739166693763042633987085, 41052684708299085211399427365734116182760315001271, 65378607361501080857009149939512557028198746004375, 35829035317434717326932123578154982629742552737307, 94953759765105305946966067683156574377167401875275, 88902802571733229619176668713819931811048770190271, 25267680276078003013678680992525463401061632866526, 36270218540497705585629946580636237993140746255962, 24074486908231174977792365466257246923322810917141, 91430288197103288597806669760892938638285025333403, 34413065578016127815921815005561868836468420090470, 23053081172816430487623791969842487255036638784583, 11487696932154902810424020138335124462181441773470, 63783299490636259666498587618221225225512486764533, 67720186971698544312419572409913959008952310058822, 95548255300263520781532296796249481641953868218774, 76085327132285723110424803456124867697064507995236, 37774242535411291684276865538926205024910326572967, 23701913275725675285653248258265463092207058596522, 29798860272258331913126375147341994889534765745501, 18495701454879288984856827726077713721403798879715, 38298203783031473527721580348144513491373226651381, 34829543829199918180278916522431027392251122869539, 40957953066405232632538044100059654939159879593635, 29746152185502371307642255121183693803580388584903, 41698116222072977186158236678424689157993532961922, 62467957194401269043877107275048102390895523597457, 23189706772547915061505504953922979530901129967519, 86188088225875314529584099251203829009407770775672, 11306739708304724483816533873502340845647058077308, 82959174767140363198008187129011875491310547126581, 97623331044818386269515456334926366572897563400500, 42846280183517070527831839425882145521227251250327, 55121603546981200581762165212827652751691296897789, 32238195734329339946437501907836945765883352399886, 75506164965184775180738168837861091527357929701337, 62177842752192623401942399639168044983993173312731, 32924185707147349566916674687634660915035914677504, 99518671430235219628894890102423325116913619626622, 73267460800591547471830798392868535206946944540724, 76841822524674417161514036427982273348055556214818, 97142617910342598647204516893989422179826088076852, 87783646182799346313767754307809363333018982642090, 10848802521674670883215120185883543223812876952786, 71329612474782464538636993009049310363619763878039, 62184073572399794223406235393808339651327408011116, 66627891981488087797941876876144230030984490851411, 60661826293682836764744779239180335110989069790714, 85786944089552990653640447425576083659976645795096, 66024396409905389607120198219976047599490197230297, 64913982680032973156037120041377903785566085089252, 16730939319872750275468906903707539413042652315011, 94809377245048795150954100921645863754710598436791, 78639167021187492431995700641917969777599028300699, 15368713711936614952811305876380278410754449733078, 40789923115535562561142322423255033685442488917353, 44889911501440648020369068063960672322193204149535, 41503128880339536053299340368006977710650566631954, 81234880673210146739058568557934581403627822703280, 82616570773948327592232845941706525094512325230608, 22918802058777319719839450180888072429661980811197, 77158542502016545090413245809786882778948721859617, 72107838435069186155435662884062257473692284509516, 20849603980134001723930671666823555245252804609722, 53503534226472524250874054075591789781264330331690 ] Sum = sum(A) d_count = mwmath.count_digits(Sum) return [(Sum / 10**(d_count - 10)), time.time() - s]
import math import mwmath import time s = time.time() a_list = range(1,10000) b_list = range(100,10000) pan_list = [] for a in a_list: for b in b_list: product = a*b p_length = mwmath.count_digits(product)+mwmath.count_digits(a)+mwmath.count_digits(b) if p_length<9: continue if p_length>9: break full_term = int(str(a)+str(b)+str(product)) if mwmath.is_pandigital(full_term): if not product in pan_list: pan_list.append(product) print sum(pan_list) print time.time()-s
def main(): A = [37107287533902102798797998220837590246510135740250, 46376937677490009712648124896970078050417018260538, 74324986199524741059474233309513058123726617309629, 91942213363574161572522430563301811072406154908250, 23067588207539346171171980310421047513778063246676, 89261670696623633820136378418383684178734361726757, 28112879812849979408065481931592621691275889832738, 44274228917432520321923589422876796487670272189318, 47451445736001306439091167216856844588711603153276, 70386486105843025439939619828917593665686757934951, 62176457141856560629502157223196586755079324193331, 64906352462741904929101432445813822663347944758178, 92575867718337217661963751590579239728245598838407, 58203565325359399008402633568948830189458628227828, 80181199384826282014278194139940567587151170094390, 35398664372827112653829987240784473053190104293586, 86515506006295864861532075273371959191420517255829, 71693888707715466499115593487603532921714970056938, 54370070576826684624621495650076471787294438377604, 53282654108756828443191190634694037855217779295145, 36123272525000296071075082563815656710885258350721, 45876576172410976447339110607218265236877223636045, 17423706905851860660448207621209813287860733969412, 81142660418086830619328460811191061556940512689692, 51934325451728388641918047049293215058642563049483, 62467221648435076201727918039944693004732956340691, 15732444386908125794514089057706229429197107928209, 55037687525678773091862540744969844508330393682126, 18336384825330154686196124348767681297534375946515, 80386287592878490201521685554828717201219257766954, 78182833757993103614740356856449095527097864797581, 16726320100436897842553539920931837441497806860984, 48403098129077791799088218795327364475675590848030, 87086987551392711854517078544161852424320693150332, 59959406895756536782107074926966537676326235447210, 69793950679652694742597709739166693763042633987085, 41052684708299085211399427365734116182760315001271, 65378607361501080857009149939512557028198746004375, 35829035317434717326932123578154982629742552737307, 94953759765105305946966067683156574377167401875275, 88902802571733229619176668713819931811048770190271, 25267680276078003013678680992525463401061632866526, 36270218540497705585629946580636237993140746255962, 24074486908231174977792365466257246923322810917141, 91430288197103288597806669760892938638285025333403, 34413065578016127815921815005561868836468420090470, 23053081172816430487623791969842487255036638784583, 11487696932154902810424020138335124462181441773470, 63783299490636259666498587618221225225512486764533, 67720186971698544312419572409913959008952310058822, 95548255300263520781532296796249481641953868218774, 76085327132285723110424803456124867697064507995236, 37774242535411291684276865538926205024910326572967, 23701913275725675285653248258265463092207058596522, 29798860272258331913126375147341994889534765745501, 18495701454879288984856827726077713721403798879715, 38298203783031473527721580348144513491373226651381, 34829543829199918180278916522431027392251122869539, 40957953066405232632538044100059654939159879593635, 29746152185502371307642255121183693803580388584903, 41698116222072977186158236678424689157993532961922, 62467957194401269043877107275048102390895523597457, 23189706772547915061505504953922979530901129967519, 86188088225875314529584099251203829009407770775672, 11306739708304724483816533873502340845647058077308, 82959174767140363198008187129011875491310547126581, 97623331044818386269515456334926366572897563400500, 42846280183517070527831839425882145521227251250327, 55121603546981200581762165212827652751691296897789, 32238195734329339946437501907836945765883352399886, 75506164965184775180738168837861091527357929701337, 62177842752192623401942399639168044983993173312731, 32924185707147349566916674687634660915035914677504, 99518671430235219628894890102423325116913619626622, 73267460800591547471830798392868535206946944540724, 76841822524674417161514036427982273348055556214818, 97142617910342598647204516893989422179826088076852, 87783646182799346313767754307809363333018982642090, 10848802521674670883215120185883543223812876952786, 71329612474782464538636993009049310363619763878039, 62184073572399794223406235393808339651327408011116, 66627891981488087797941876876144230030984490851411, 60661826293682836764744779239180335110989069790714, 85786944089552990653640447425576083659976645795096, 66024396409905389607120198219976047599490197230297, 64913982680032973156037120041377903785566085089252, 16730939319872750275468906903707539413042652315011, 94809377245048795150954100921645863754710598436791, 78639167021187492431995700641917969777599028300699, 15368713711936614952811305876380278410754449733078, 40789923115535562561142322423255033685442488917353, 44889911501440648020369068063960672322193204149535, 41503128880339536053299340368006977710650566631954, 81234880673210146739058568557934581403627822703280, 82616570773948327592232845941706525094512325230608, 22918802058777319719839450180888072429661980811197, 77158542502016545090413245809786882778948721859617, 72107838435069186155435662884062257473692284509516, 20849603980134001723930671666823555245252804609722, 53503534226472524250874054075591789781264330331690] Sum = sum(A) d_count = mwmath.count_digits(Sum) return (Sum/10**(d_count-10))
s = time.time() base_list = range(1, int(100000000 / 3)) largest_base = 1 largest_list = 1 largest_pan = 1 pan_list = [] for ele in base_list: cur_term = ele cur_product = 2 while mwmath.count_digits(cur_term) < 9: cur_term = int(str(cur_term) + str(cur_product * ele)) cur_product += 1 if mwmath.count_digits(cur_term) != 9: continue else: if mwmath.is_pandigital(cur_term): pan_list.append(cur_term) if cur_term > largest_pan: print cur_term largest_pan = cur_term largest_list = cur_product - 1 largest_base = ele print pan_list
s = time.time() base_list = range(1,int(100000000/3)) largest_base = 1 largest_list = 1 largest_pan = 1 pan_list = [] for ele in base_list: cur_term = ele cur_product = 2 while mwmath.count_digits(cur_term)<9: cur_term = int(str(cur_term)+str(cur_product*ele)) cur_product+=1 if mwmath.count_digits(cur_term)!=9: continue else: if mwmath.is_pandigital(cur_term): pan_list.append(cur_term) if cur_term>largest_pan: print cur_term largest_pan = cur_term largest_list = cur_product-1 largest_base = ele print pan_list