A246842 Primes p such that p + m^2 is prime for all m in {2,4,6,8,10,12,14,16}.

37, 163, 56893, 409333, 1483087, 1867783, 10101463, 18292957, 31284493, 52896517, 58048057, 157861663, 175933717, 180336193, 222640867, 258001837, 276739747, 349693117, 371305267, 445890307, 543764323, 613305067, 678551833, 748576753, 828497443

Offset: 1

Author

Zak Seidov, Sep 05 2014

Keywords

• nonn

Comments

Primes p such that p + m^2, m = 2,4,6,8,10,12,14,16,18 are all primes:

163, 409333, 1483087, 1867783, 222640867, 258001837, 371305267, 748576753, 828497443, 1235054137, ...

Primes p such that p + m^2, m = 2,4,6,8,10,12,14,16,18,20 are all primes:

163, 409333, 828497443, ...

Links

• Zak Seidov and Jens Kruse Andersen, Table of n, a(n) for n = 1..10000 (first 34 terms from Zak Seidov)

Crossrefs

Cf. A049492, A092120.

Programs

PARI

s=[]; forprime(p=2, 10e9, forstep(i=2, 16, 2, if(!isprime(p+i^2), next(2))); s=concat(s, p)); s \\ Colin Barker, Sep 05 2014

Extensions

Typos in data and comments fixed by Colin Barker, Sep 05 2014