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

Author

Alex Ratushnyak, Feb 04 2014

Keywords

• nonn

Links

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

Crossrefs

A subsequence of A067662, A070325, A070689, A080149.

Programs

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=', ')