def main():
numthry.sieve(10**ubound)
pans = set(
int("".join(p)) for p in itertools.permutations(
str(d) for d in range(1, ubound + 1)))
panprimes = numthry.sprimes & pans
print(max(panprimes))
def main():
numthry.sieve(100^2+bound*100+bound)
best = (0,0,0)
for a in range(-bound,bound+1):
for b in range(-bound,bound+1):
if numthry.isprime(b):
n = 0
while numthry.isprime(n*n + a*n + b):
n += 1
if n > best[2]:
best = (a, b, n)
print(best)
def main():
numthry.sieve(100^2+bound*100+bound)
best = (0,0,0)
for a in range(-bound,bound+1):
for b in range(-bound,bound+1):
if numthry.isprime(b):
n = 0
while numthry.isprime(n*n + a*n + b):
n += 1
if n > best[2]:
best = (a, b, n)
print(best)
def main():
numthry.sieve(ubound)
p = set(numthry.primes)
count = 0
for n in numthry.primes:
l = [d for d in list(str(n))]
# check if all rotations of n are prime and, if so, increment count
if all([(int(''.join(l[i:] + l[:i])) in p) for i in range(len(l))]):
count += 1
## print("n:", n, "| rotations:", [int(''.join(l[i:] + l[:i]))
## for i in range(len(l))])
print(count)
def main():
numthry.sieve(ubound)
p = set(numthry.primes)
count = 0
for n in numthry.primes:
l = [d for d in list(str(n))]
# check if all rotations of n are prime and, if so, increment count
if all([(int(''.join(l[i:] + l[:i])) in p) for i in range(len(l))]):
count += 1
## print("n:", n, "| rotations:", [int(''.join(l[i:] + l[:i]))
## for i in range(len(l))])
print(count)
def main():
numthry.sieve(1000000)
count = 0
total = 0
n = 10
while count < 11:
if numthry.isprime(n):
s = str(n)
truncs = [s[i:] for i in range(len(s))] + [s[:i+1] for i in range(len(s)-1)]
if all(numthry.isprime(int(t)) for t in truncs):
total += n
count += 1
n += 1
print(total)
def main():
numthry.sieve(1000000)
count = 0
total = 0
n = 10
while count < 11:
if numthry.isprime(n):
s = str(n)
truncs = [s[i:] for i in range(len(s))
] + [s[:i + 1] for i in range(len(s) - 1)]
if all(numthry.isprime(int(t)) for t in truncs):
total += n
count += 1
n += 1
print(total)
def main():
numthry.sieve(10**ubound)
pans = set(int("".join(p)) for p in itertools.permutations(str(d)
for d in range(1,ubound + 1)))
panprimes = numthry.sprimes & pans
print(max(panprimes))