|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|