

A246874


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


2



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
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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(p4) && isprime(p16) && isprime(p36) && isprime(p64), 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(pm*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



