A328799 Primes p that are simultaneously of the forms 2*q+1, 4*r+3, 6*s+5 and 8*t+7 where q,r,s,t are primes.

23, 47, 1439, 2879, 11279, 51599, 209519, 243119, 349199, 507359, 700319, 903359, 1190639, 1342079, 1650959, 1956719, 2978399, 3304079, 3376559, 3841679, 4858559, 5404319, 5454719, 6207599, 6486479, 7682399, 7825439, 8169599, 8826479, 8970959, 9546959

Offset

1,1

Comments

All terms == 23 (mod 24). All but the first == 47 (mod 48).

Links

Robert Israel, Table of n, a(n) for n = 1..2000

Example

a(3)=1439 is a term because 1439=2*719+1=4*359+3=6*239+5=8*179+7 and 1439, 719, 359, 239 and 179 are all primes.

Maple

map(t -> 24*t+23, select(k -> andmap(isprime, [3*k+2, 4*k+3, 6*k+5, 12*k+11, 24*k+23]), [0, seq(k, k=1..10^6, 2)]));

Crossrefs

Cf. A005385, A066179, A157358.

Sequence in context: A255596 A157358 A158238 * A333115 A042056 A087807

Adjacent sequences: A328796 A328797 A328798 * A328800 A328801 A328802

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Nov 18 2019

Extensions

Clarified definition. - N. J. A. Sloane, Nov 15 2021

Status

approved