def determine_prime(n):
if n in primes:
return True
if n in non_primes:
return False
if is_prime(n):
primes.add(n)
return True
else:
non_primes.add(n)
return False
def determine_prime(n):
if n in primes:
return True
if n in non_primes:
return False
if is_prime(n):
primes.add(n)
return True
else:
non_primes.add(n)
return False
def sqr_diag_generator():
cant_tot = 1
cant_primes = 0
num = 1
to_sum = 2
while True:
for i in range(0,4):
num += to_sum
if is_prime(num):
cant_primes += 1
to_sum += 2
cant_tot += 4
yield cant_primes * 100 / cant_tot
def sqr_diag_generator():
cant_tot = 1
cant_primes = 0
num = 1
to_sum = 2
while True:
for i in range(0, 4):
num += to_sum
if is_prime(num):
cant_primes += 1
to_sum += 2
cant_tot += 4
yield cant_primes * 100 / cant_tot
# Finds the largest n-pandigital prime. # Copyright (C) 2010 Santiago Alessandri # # This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 3 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see <http://www.gnu.org/licenses/>. # # You can contact me at [email protected] # Visit my wiki at http://san-ss.wikidot.com ######################################################################## from CommonFunctions import is_prime from itertools import permutations if __name__ == '__main__': result = 0 for i in range(3,10): for x in permutations([str(x) for x in range(1,i+1)]): x = int(''.join(x)) if is_prime(x): result = max(result, x) print("The result is:", result)
# This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 3 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see <http://www.gnu.org/licenses/>. # # You can contact me at [email protected] # Visit my wiki at http://san-ss.wikidot.com ######################################################################## from CommonFunctions import is_prime if __name__ == '__main__': i = 3 number = 600851475143 while number > 1: if is_prime(i): while (number % i) == 0: number //= i i += 2 i -= 2 print("The result is:", i)
# (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see <http://www.gnu.org/licenses/>. # # You can contact me at [email protected] # Visit my wiki at http://san-ss.wikidot.com ######################################################################## from CommonFunctions import find_primes_less_than, is_prime if __name__ == '__main__': max = 0 primes = find_primes_less_than(1000) for b in primes: for a in range(-999, 1000): n = 0 tmp = n**2 + a * n + b while tmp > 0 and is_prime(tmp): n += 1 tmp = n**2 + a * n + b if n > max: max = n res = (a, b) print("The result is:", res[0] * res[1])
# # This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 3 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see <http://www.gnu.org/licenses/>. # # You can contact me at [email protected] # Visit my wiki at http://san-ss.wikidot.com ######################################################################## from CommonFunctions import is_prime if __name__ == '__main__': cant = 2 result = 3 while cant < 10001: result += 2 while not is_prime(result): result += 2 cant += 1 print("The result is:", result)
# (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see <http://www.gnu.org/licenses/>. # # You can contact me at [email protected] # Visit my wiki at http://san-ss.wikidot.com ######################################################################## from CommonFunctions import find_primes_less_than, is_prime if __name__ == "__main__": max = 0 primes = find_primes_less_than(1000) for b in primes: for a in range(-999, 1000): n = 0 tmp = n ** 2 + a * n + b while tmp > 0 and is_prime(tmp): n += 1 tmp = n ** 2 + a * n + b if n > max: max = n res = (a, b) print("The result is:", res[0] * res[1])