A237191 Numbers k such that k+1, k+3, k^2+1, k^2+3, k^4+1, k^4+3 are six primes.

2, 520360, 14320216, 30527896, 119668186, 120506050, 131448430, 142493926, 211158676, 254574706, 276368680, 306216940, 315122416, 421132180, 472731400, 506213890, 540271396, 616078786, 629310346, 646308250, 741176296, 752897860, 800587480, 851425030, 897745996

Offset

1,1

Links

Giovanni Resta, Table of n, a(n) for n = 1..1000

Prog

(Python)
from sympy import isprime
for n in range(0, 1000000000, 2):
    if isprime(n+1) and isprime(n*n+1) and isprime(n**4+1):
        if isprime(n+3) and isprime(n*n+3) and isprime(n**4+3):
            print(n, end=', ')

Crossrefs

A subsequence of A067662, A070325, A070689, A080149.

Sequence in context: A172994 A214545 A072321 * A367823 A101118 A331870

Adjacent sequences: A237188 A237189 A237190 * A237192 A237193 A237194

Keyword

nonn

Author

Alex Ratushnyak, Feb 04 2014

Status

approved