

A158614


Numbers n such that 30*n + 11 is prime.


9



0, 1, 2, 3, 4, 6, 8, 9, 10, 13, 14, 15, 16, 17, 21, 23, 25, 27, 29, 30, 31, 32, 34, 35, 36, 38, 39, 43, 45, 48, 49, 50, 52, 53, 57, 60, 62, 63, 64, 69, 70, 71, 78, 79, 80, 81, 84, 86, 87, 90, 91, 93, 95, 100, 101, 106, 107, 108, 112, 115, 116, 119, 122, 123, 125, 127, 128
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OFFSET

1,3


COMMENTS

Encoded primes with LSD 1 and (SOD1)/3 noninteger, (LSD, least significant digit; SOD, sum of digits). Divide any such number by 30, if the whole number portion of the quotient is in the sequence, the number is prime.


LINKS

Ivan Neretin, Table of n, a(n) for n = 1..10000


FORMULA

a(n) = (A132232(n)  11)/30 = floor(A132232(n)/30).  Ray Chandler, Apr 07 2009


EXAMPLE

Example: 3191, with LSD 1 and (SOD1)/3 = 4.33 (noninteger); Then 3191/30=106.367, or 106 which is in the sequence, thus 3191 is prime.


MATHEMATICA

Select[Range[0, 130], PrimeQ[30#+11]&] (* Harvey P. Dale, Jul 26 2011 *)


PROG

(PARI) is(n)=isprime(30*n+11) \\ Charles R Greathouse IV, Feb 17 2017


CROSSREFS

Cf. A111175, A158573, A158648, A158746, A158791, A158806, A158850.
Sequence in context: A188591 A002183 A060306 * A303434 A080823 A117925
Adjacent sequences: A158611 A158612 A158613 * A158615 A158616 A158617


KEYWORD

nonn


AUTHOR

Ki Punches, Mar 22 2009, Mar 29 2009


EXTENSIONS

Edited by Ray Chandler, Apr 07 2009


STATUS

approved



