The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A347934 Primes p of the form k^2 + 1 such that p+2 and 2p+1 are also prime. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All primes (except 5) in the sequence are of the form 100*k^2 + 1.
LINKS
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
KEYWORD
nonn
AUTHOR
Angad Singh, Sep 20 2021
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)