A086220 -id:A086220 - cp's OEIS frontend

A086509 Numbers n such that p=n^2+2, p+2, p+6, p+8 and p+12 are five consecutive primes.

Original entry on oeis.org

3, 32397, 213237, 254577, 1587597, 2305167, 3440307, 5622903, 6067893, 6895953, 7424157, 8304927, 8917707, 8936367

Offset: 1

Zak Seidov, Sep 09 2003

John F. Brennen, Quints.

Cf. A086220, A086380, A086381.

John F. Brennen gives first 19575 terms of this sequence, n <= 165294372813.

A157929 Numbers n such that n^2+4, n^2+8, and n^2+10 are prime.

Original entry on oeis.org

3, 57, 1203, 2307, 3837, 3843, 4227, 4257, 5277, 7053, 7473, 9933, 10893, 11487, 12603, 23223, 32397, 44037, 44517, 46893, 48327, 48693, 52083, 52923, 54813, 55647, 61827, 61977, 62493, 71733, 71793, 77097, 81837, 97383, 98487, 98853, 99393, 102117, 102753, 109617, 112347

Offset: 1

Vincenzo Librandi, Dec 16 2010

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Cf. A086220.

[n: n in [0..150000]|IsPrime(n^2+4) and IsPrime(n^2+8) and IsPrime(n^2+10)]

Select[Range[112347], PrimeQ[#^2+4] && PrimeQ[#^2+8] && PrimeQ[#^2+10]&]
Select[Range[120000],AllTrue[#^2+{4,8,10},PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 09 2016 *)

cp's OEIS Frontend

A086509 Numbers n such that p=n^2+2, p+2, p+6, p+8 and p+12 are five consecutive primes.

Views

Author

Keywords

Links

Crossrefs

Extensions

A157929 Numbers n such that n^2+4, n^2+8, and n^2+10 are prime.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica