OFFSET
1,1
COMMENTS
The first appearances of 2..6 consecutive primes in the sequence are: {31,37}, {5, 7, 11}, {353, 359, 367, 373}, {1293199, 1293203, 1293233, 1293239, 1293247}, {3982031, 3982037, 3982057, 3982067, 3982073, 3982079}.
Initial terms of the sets of exactly 6 consecutive primes: {3982031, 5495989, 33057589, 255414437, 495180067, 558985507}.
LINKS
K. D. Bajpai, Table of n, a(n) for n = 1..10000
EXAMPLE
From K. D. Bajpai, Jun 18 2015: (Start)
a(3) = 11: both 11 and 11^2 - 8 = 113 are prime.
a(4) = 17: both 17 and 17^2 - 8 = 281 are prime.
(End)
MATHEMATICA
Select[Prime[Range[5000]], PrimeQ[#^2-8]&] (* K. D. Bajpai, Jun 18 2015 *)
PROG
(PARI) lista(nn) = forprime(p=2, nn, if (isprime(p^2-8), print1(p, ", "))); \\ Michel Marcus, Jun 16 2015
(Magma) [p: p in PrimesUpTo(5000) | IsPrime(p^2-8)]; // K. D. Bajpai, Jun 18 2015
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Jun 16 2015
STATUS
approved