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!)
A145476 Primes p such that (19 + p)/2 is prime. 3
3, 7, 19, 43, 67, 103, 127, 139, 199, 283, 307, 367, 379, 439, 463, 523, 547, 607, 643, 727, 739, 823, 859, 907, 1063, 1123, 1303, 1327, 1399, 1447, 1459, 1483, 1627, 1699, 1747, 1999, 2083, 2239, 2287, 2383, 2539, 2887, 3067, 3079, 3307, 3319, 3463, 3499 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All these primes are congruent to 3 mod 4 and (with the exception of the first term) to 5 mod 12.
LINKS
MATHEMATICA
aa = {}; k = 19; Do[If[PrimeQ[(k + Prime[n])/2], AppendTo[aa, Prime[n]]], {n, 1, 500}]; aa
Select[Prime[Range[500]], PrimeQ[(#+19)/2]&] (* Harvey P. Dale, Sep 06 2023 *)
PROG
(PARI) list(n)=my(t=1, p, i=1); while(i<n, p=prime(i); i=i+1; if(p>2&&bigomega((19+p)/2)==1, print(p))) Anders Hellström, Jan 22 2017
CROSSREFS
Sequence in context: A356617 A086519 A090689 * A126938 A127990 A192301
KEYWORD
nonn
AUTHOR
Artur Jasinski, Oct 11 2008
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 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)