A347934 Primes p of the form k^2 + 1 such that p+2 and 2p+1 are also prime.

5, 25601, 193601, 1144901, 1464101, 4326401, 6100901, 12390401, 23522501, 72931601, 127012901, 245862401, 256960901, 351937601, 441840401, 732784901, 802588901, 951722501, 1621672901, 2024100101, 2070250001, 2217468101, 2219352101, 2428518401, 2930056901, 2963713601

Offset

1,1

Comments

All primes (except 5) in the sequence are of the form 100*k^2 + 1.

Links

Table of n, a(n) for n=1..26.

Mathematica

Select[Range[50000]^2 + 1, AllTrue[{#, # + 2, 2*# + 1}, PrimeQ] &] (* Amiram Eldar, Sep 20 2021 *)

Crossrefs

Intersection of A002496 and A045536.

Sequence in context: A201002 A246870 A193366 * A228547 A193148 A307492

Adjacent sequences: A347931 A347932 A347933 * A347935 A347936 A347937

Keyword

nonn

Author

Angad Singh, Sep 20 2021

Status

approved