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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. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 27 22:01 EDT 2022. Contains 357063 sequences. (Running on oeis4.)