A341215 Primes p such that 2*p+3*q and 3*p+2*q are prime, where q is the next prime after p.

5, 7, 11, 19, 29, 31, 37, 43, 53, 113, 127, 163, 173, 199, 257, 271, 317, 353, 397, 439, 457, 461, 557, 599, 659, 757, 809, 991, 997, 1019, 1069, 1129, 1289, 1327, 1439, 1447, 1549, 1621, 1733, 1747, 1759, 1831, 1913, 2027, 2113, 2141, 2153, 2309, 2339, 2357, 2383, 2423, 2473, 2663, 2741, 2801

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(3) = 11 is a term because the next prime is 13 and 2*11+3*13 = 61 and 3*11+2*13 = 59 are prime.

Maple

R:=  NULL: count:= 0:
q:= 2:
while count < 100 do
  p:= q; q:= nextprime(p);
  if isprime(2*p+3*q) and isprime(3*p+2*q) then
    count:= count+1; R:= R, p
  fi
od:
R;

Prog

(PARI) isok(p) = isprime(p) && (q=nextprime(p+1)) && isprime(2*p+3*q) && isprime(3*p+2*q); \\ Michel Marcus, Feb 07 2021

Crossrefs

Contains A174922.

Sequence in context: A273048 A240621 A040127 * A136086 A182121 A072825

Adjacent sequences: A341212 A341213 A341214 * A341216 A341217 A341218

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Feb 06 2021

Status

approved