import primality, sys
from itertools import *
from functools import *
N = 100
primes = primality.primes(N)
nums = [False,]*N
nums[1] = 1,
for p in primes:
if p > N:
break
basket = [False,]*N
n = 1
while p**n < N:
for c in filter(lambda x: x, nums):
getvalue = lambda parts : reduce(lambda acc, part: acc * part, parts, 1)
v = tuple(chain(c, (p,)*n))
val = getvalue(v)
if val >= N:
break
basket[val] = v
n += 1
for i, n in filter(lambda x: x[1], enumerate(basket)):
nums[i] = n
"""for n, p in enumerate(nums):
if p:
print n, reduce(lambda s, v: s + " %i"%(v,), p, "")"""
import primality, itertools
def countprimes(primes, a, b):
score = 0
for n in itertools.count():
if n**2 + a*n + b not in primes:
return score
score += 1
primes = primality.primes(10000)
hiscore = 0, 0, 0
for a in range(-1000,1001):
for b in range(-1000,1001):
sc = countprimes(primes, a, b)
if sc > hiscore[0]:
hiscore = sc, a, b
print(hiscore)