A246874 Primes p such that p - m^2, m = 2, 4, 6, 8, are all (positive) primes.

83, 167, 227, 503, 677, 1217, 1487, 4973, 5843, 10337, 12437, 13163, 15683, 15923, 21803, 22067, 23057, 24107, 24113, 36587, 40883, 47717, 53633, 57287, 65183, 73013, 95633, 104123, 107777, 109583, 113147, 122267, 128987, 129533, 132173, 148403, 148727

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..1000

Example

83, 79, 67, 47 and 19 are primes so 83 is a term in this sequence.

Prog

(PARI) select(p->isprime(p-4) && isprime(p-16) && isprime(p-36) && isprime(p-64), primes(200000)) \\ Colin Barker, Sep 08 2014
(Python)
from sympy import prime, isprime
A246874_list = [p for p in (prime(n) for n in range(1, 3*10**6)) if all([isprime(p-m*m) for m in range(2, 10, 2)])]
# Chai Wah Wu, Sep 08 2014

Crossrefs

Subsequence of A246873.

Sequence in context: A044634 A160849 A277807 * A136079 A118359 A084866

Adjacent sequences: A246871 A246872 A246873 * A246875 A246876 A246877

Keyword

nonn

Author

Zak Seidov, Sep 06 2014

Extensions

More terms from Colin Barker, Sep 08 2014

Status

approved