A337214 Primes prime(k) such that prime(k) + 2*prime(k+1), prime(k) + 2*prime(k+1) + 4*prime(k+2) and prime(k) + 2*prime(k+1) + 4*prime(k+2) + 8*prime(k+3) are all prime.

43, 599, 1451, 8867, 18253, 19211, 19469, 27329, 29863, 40787, 41141, 75403, 85991, 104707, 119921, 131009, 137383, 150551, 167309, 173263, 195977, 201247, 222863, 277961, 285199, 350429, 364333, 374461, 382747, 385783, 406499, 419743, 423803, 466673, 496289, 512821, 532241, 541529, 541579

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000 (n = 1..2000 from Robert Israel)

Example

a(3)=1451 is in the sequence because 1451, 1453, 1459, 1471 are consecutive primes and 1451+2*1453=4357, 1451+2*1453+4*1459=10193, and 1451+2*1453+4*1459+8*1471=21961 are all prime.

Maple

N:= 60000: # to get terms in the first N primes
P:= [seq(ithprime(i), i=1..N+3)]:
P[select(i -> isprime(P[i]+2*P[i+1]) and isprime(P[i]+2*P[i+1]+4*P[i+2]) and isprime(P[i]+2*P[i+1]+4*P[i+2]+8*P[i+3]) , [$1..N])];

Crossrefs

Cf. A175914, A337213.

Sequence in context: A251896 A060888 A245427 * A332946 A229689 A146979

Adjacent sequences: A337211 A337212 A337213 * A337215 A337216 A337217

Keyword

nonn

Author

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

Status

approved