def solve():
for comp in count(3, 2):
if is_prime(comp):
continue
holds = False
for s in xrange(1, int(math.sqrt(comp / 2 + 1) + 1)):
diff = comp - 2 * s * s
if is_prime(diff):
holds = True
break
if not holds:
return comp
def solve3():
ps = primes(1, UPPER_PRIME)
for l in xrange(len(ps), 1, -1):
for i in xrange(len(ps) - l + 1):
p = sum(ps[i:i + l])
#print '%s -> %s' % (ps[i:i+l], p)
if p < 1000000 and is_prime(p):
return p
def solve3():
ps = primes(1, UPPER_PRIME)
for l in xrange(len(ps), 1, -1):
for i in xrange(len(ps) - l + 1):
p = sum(ps[i:i+l])
#print '%s -> %s' % (ps[i:i+l], p)
if p < 1000000 and is_prime(p):
return p
def solve():
ps = primes(1, UPPER_PRIME)
for l in xrange(len(ps), 1, -1):
s = sum(ps[-l:])
for i in xrange(len(ps) - l, -1, -1):
#print s
if s < 1000000 and is_prime(s):
return s
s = s + ps[i - 1] - ps[i + l - 1]
def solve():
ps = primes(1, UPPER_PRIME)
for l in xrange(len(ps), 1, -1):
s = sum(ps[-l:])
for i in xrange(len(ps) - l, -1, -1):
#print s
if s < 1000000 and is_prime(s):
return s
s = s + ps[i - 1] - ps[i + l - 1]
def solve():
for d in range(7, 0, -1): # optimization: skip 9- and 8-digit numbers
for candidate in permutations(reversed(range(1, d + 1))):
p = reduce(lambda t, x: 10 * t + x, candidate)
if is_prime(p):
return p
def solve():
for d in range(7, 0, -1): # optimization: skip 9- and 8-digit numbers
for candidate in permutations(reversed(range(1, d + 1))):
p = reduce(lambda t, x: 10 * t + x, candidate)
if is_prime(p):
return p
