A076355 Numbers n such that 210*n + 11 is prime.

0, 2, 3, 5, 7, 9, 10, 12, 13, 16, 17, 19, 20, 21, 24, 25, 26, 29, 30, 31, 34, 42, 43, 45, 48, 49, 54, 57, 59, 60, 61, 63, 64, 67, 72, 74, 75, 76, 80, 81, 82, 89, 90, 91, 93, 94, 95, 100, 101, 104, 106, 107, 108, 109, 111, 112, 113, 116, 123, 125, 127, 128, 133, 134, 136

Offset: 1

Author

Zak Seidov, Oct 08 2002

Keywords

• easy
• nonn

Comments

First sets of exactly n consecutive integers;

0;

2, 3;

19..21;

106..109;

1270..1274;

1178..1183;

15304..15310;

2562331..2562338;

108571234..108571242;

1594939699..1594939708.

Examples

			n=2: 210*2 + 11 = 431 is prime.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A140840.

Programs

Magma

[n: n in [0..150]| IsPrime(210*n + 11)]; // Vincenzo Librandi, Oct 04 2012

Mathematica

Select[Range[0,150],PrimeQ[210#+11]&] (* Harvey P. Dale, Dec 09 2011 *)

PARI

is(n)=isprime(210*n+11) \\ Charles R Greathouse IV, May 22 2017

Formula

a(n) = (A140840(n) - 11)/210. - Zak Seidov, Jan 15 2014

Extensions

0 inserted by Ray Chandler, Apr 30 2010