A248887 -id:A248887 - cp's OEIS frontend

A248892 Primes p of the form 4m^2+1 such that q=4p^2+1, r=4q^2+1 and s=4r^2+1 are all prime.

1565891838737, 1985917919077, 2060476510097, 5590084720897, 39623323626437, 94860314619877, 114027286862737, 115071875848337, 117140013119377, 136739205150917, 246382184192357, 254109295929637, 265883157493777, 340055949647237, 378534223873937

Offset: 1

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Zak Seidov, Mar 05 2015

nonn

Corresponding values of k: 625678,704613,717718,1182168,3147353,4869813,5339178,5363578,5411562,5846777,7848283,7970403,8152962,9220303,9727978.

Subsequence of A248887. Cf. A001912, A121326, A121834, A248887.

apQ[p_]:=Module[{q=4p^2+1,r},r=4q^2+1;AllTrue[{p,q,r,4r^2+1},PrimeQ]]; Select[ 4*Range[ 10^7]^2+1,apQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Aug 28 2019 *)

cp's OEIS Frontend

A248892 Primes p of the form 4m^2+1 such that q=4p^2+1, r=4q^2+1 and s=4r^2+1 are all prime.

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