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A341937

Primes 2*p*q-2*q*r+r*s where p,q,r,s are consecutive primes.

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

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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]):