A337213 Primes prime(k) such that prime(k) + 2*prime(k+1) and prime(k) + 2*prime(k+1) + 4*prime(k+2) are prime.

3, 43, 59, 127, 599, 673, 937, 1451, 1619, 1847, 2089, 2311, 2953, 3343, 3613, 3677, 4817, 4909, 4973, 5519, 5639, 5857, 6359, 6389, 7043, 7069, 7537, 8867, 9157, 9341, 10039, 11069, 12301, 12907, 13327, 13729, 14293, 14549, 15619, 15739, 15877, 17077, 17351, 17977, 18253, 19211, 19387, 19469

Offset

1,1

Links

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

Example

a(3)=59 is in the sequence because 59, 61, 67 are consecutive primes and 59+2*61=181 and 59+2*61+4*67=449 are prime.

Maple

N:= 2000: # to get terms in the first N primes
P:= [seq(ithprime(i), i=1..N+2)]:
P[select(i -> isprime(P[i]+2*P[i+1]) and isprime(P[i]+2*P[i+1]+4*P[i+2]), [$1..N])];

Crossrefs

Cf. A175914, A337214.

Sequence in context: A332973 A137192 A253577 * A059802 A139854 A194578

Adjacent sequences: A337210 A337211 A337212 * A337214 A337215 A337216

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Aug 19 2020

Status

approved