A158850 Numbers n such that 30*n + 29 is prime.

0, 1, 2, 4, 5, 7, 8, 11, 12, 13, 14, 15, 16, 18, 19, 21, 23, 26, 27, 30, 33, 34, 36, 40, 41, 42, 43, 46, 47, 49, 51, 53, 56, 62, 64, 65, 67, 68, 69, 70, 76, 77, 79, 81, 84, 85, 86, 89, 90, 92, 93, 95, 96, 97, 98, 99, 102, 103, 106, 109, 110, 111, 112, 114, 117, 121, 123, 125

Offset

1,3

Comments

Encoded primes with LSD 9 and (SOD-1)/3 non-integer, (LSD, least significant digit; SOD, sum of digits). Divide any such number by 30, if the whole number portion from the quotient is in the sequence, the number is prime.

Links

Table of n, a(n) for n=1..68.

Formula

a(n) = (A132236(n) - 29)/30 = Floor[A132236(n)/30]. - Chandler

Example

Example: 3209 with LSD 9 and (SOD-1)/3 non-integer; Then 3209/30 = 106.966, or 106, which is in the sequence, thus 3209 is prime.

Prog

(PARI) is(n)=isprime(30*n+29) \\ Charles R Greathouse IV, Feb 17 2017

Crossrefs

Cf. A111175, A158573, A158614, A158648, A158746, A158791, A158806.

Sequence in context: A085370 A006693 A281641 * A274427 A187576 A188298

Adjacent sequences: A158847 A158848 A158849 * A158851 A158852 A158853

Keyword

nonn

Author

Ki Punches, Mar 28 2009

Extensions

Edited by Ray Chandler, Apr 07 2009

Status

approved