A076355 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

First sets of exactly n consecutive integers;

2, 3;

19..21;

106..109;

1270..1274;

1178..1183;

15304..15310;

2562331..2562338;

108571234..108571242;

1594939699..1594939708.

LINKS

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

FORMULA

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

EXAMPLE

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

MATHEMATICA

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

PROG

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

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

CROSSREFS

Cf. A140840.

Sequence in context: A201804 A245227 A226249 * A081477 A083033 A022847

Adjacent sequences: A076352 A076353 A076354 * A076356 A076357 A076358

KEYWORD

easy,nonn

AUTHOR

Zak Seidov, Oct 08 2002

EXTENSIONS

0 inserted by Ray Chandler, Apr 30 2010

STATUS

approved