A062718 p and p^2 + 6 are both prime.

5, 11, 19, 31, 61, 79, 89, 109, 131, 151, 199, 269, 331, 401, 431, 569, 709, 859, 929, 941, 971, 991, 1039, 1249, 1319, 1361, 1409, 1451, 1531, 1549, 1559, 1571, 1601, 1619, 1699, 1879, 1901, 1999, 2069, 2081, 2089, 2111, 2179, 2341, 2399, 2411, 2621

Offset

1,1

Comments

The only common term with A137270 is 5. - Zak Seidov, Jun 16 2015

First cases of two, three and four consecutive primes are {2069,2081}, {3041,3049,3061} and {3403531,3403549,3403559,3403571}. - Zak Seidov, Jun 16 2015

Links

Harry J. Smith, Table of n, a(n) for n=1..1000

Mathematica

Select[Prime[Range[400]], PrimeQ[#^2 + 6] &] (* Vincenzo Librandi, Jun 16 2015 *)

Prog

(PARI) je=[]; for(n=1, 700, if(isprime(prime(n)^2+6), je=concat(je, prime(n)))); je
(PARI) { n=0; for (m=1, 10^9, if (isprime(prime(m)^2 + 6), write("b062718.txt", n++, " ", prime(m)); if (n==1000, break)) ) } \\ Harry J. Smith, Aug 09 2009
(Magma) [p: p in PrimesUpTo(3000) |IsPrime(p^2+6)]; // Vincenzo Librandi, Jun 16 2015

Crossrefs

Cf. A137270. - Zak Seidov, Jun 16 2015

Sequence in context: A065995 A023245 A125003 * A326123 A288112 A225250

Adjacent sequences: A062715 A062716 A062717 * A062719 A062720 A062721

Keyword

nonn

Author

Jason Earls, Jul 14 2001

Status

approved