31 lines
833 B
Python
31 lines
833 B
Python
|
#!/usr/bin/env python3
|
||
|
|
|
||
|
|
from math import sqrt
|
||
|
|
|
||
|
|
def main(lim, x):
|
||
|
|
sieve = [False, True] * (lim//2 + 1)
|
||
|
|
primes = []
|
||
|
|
sub_lim = int(sqrt(lim) + 1)
|
||
|
|
count = [[1], [0], [1]]
|
||
|
|
even = False
|
||
|
|
for n in range(3, lim + 1):
|
||
|
|
if sieve[n]:
|
||
|
|
primes.append(n)
|
||
|
|
for j in range(n**2, lim + 1, 2*n):
|
||
|
|
sieve[j] = False
|
||
|
|
count.append([int(even)])
|
||
|
|
for i, p in enumerate(primes, 1):
|
||
|
|
if p > n - p:
|
||
|
|
count[n].append(count[n - p][-1] + count[n][-1])
|
||
|
|
else:
|
||
|
|
count[n].append(count[n - p][i] + count[n][-1])
|
||
|
|
if count[n][-1] - int(sieve[n]) > x:
|
||
|
|
return n, count[n][-1] - int(sieve[n])
|
||
|
|
even = not even
|
||
|
|
return False
|
||
|
|
|
||
|
|
if __name__ == '__main__':
|
||
|
|
lim = 10**6
|
||
|
|
x = 5000
|
||
|
|
print(main(lim, x)[0])
|