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A341937 Primes 2*p*q-2*q*r+r*s where p,q,r,s are consecutive primes. 2
17, 37, 59, 89, 167, 233, 439, 439, 683, 1021, 5807, 10427, 13043, 12569, 19163, 36887, 40493, 64579, 66587, 86291, 103699, 124693, 126839, 179743, 218137, 329627, 419927, 437113, 472133, 606997, 621031, 660917, 695771, 731033, 741569, 772649, 783701, 793673, 848273, 868639, 898823, 999959 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(k) = 2*p*q-2*q*r+r*s where p = A341934(k) and p,q,r,s are consecutive primes.

LINKS

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

EXAMPLE

a(5) = 167 because A341934(5) = 11 and (p,q,r,s)=(11,13,17,19) are consecutive primes with 2*p*q-2*q*r+r*s = 167.

MAPLE

P:= select(isprime, [2, seq(i, i=3..10000, 2)]):

B:= select(i -> isprime(P[i+2]*P[i+3]-2*P[i+1]*(P[i+2]-P[i])), [$1..nops(P)-3]):

seq(P[i+2]*P[i+3]-2*P[i+1]*(P[i+2]-P[i]), i = B);

CROSSREFS

Cf. A341934.

Sequence in context: A339531 A295338 A059425 * A225077 A146328 A161549

Adjacent sequences:  A341934 A341935 A341936 * A341938 A341939 A341940

KEYWORD

nonn

AUTHOR

J. M. Bergot and Robert Israel, Feb 23 2021

STATUS

approved

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Last modified June 24 18:46 EDT 2021. Contains 345419 sequences. (Running on oeis4.)