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

Author

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

Keywords

• nonn

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A005385, A066179, A157358.

Programs

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)]));

Extensions

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