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A158614 Numbers n such that 30*n + 11 is prime. 8
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Encoded primes with LSD 1 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 of the quotient is in the sequence, the number is prime.

FORMULA

a(n) = (A132232(n) - 11)/30 = Floor[A132232(n)/30]. - Chandler

EXAMPLE

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

MATHEMATICA

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

CROSSREFS

Cf. A111175, A158573, A158648, A158746, A158791, A158806, A158850.

Sequence in context: A188591 A002183 A060306 * A117925 A135571 A138394

Adjacent sequences:  A158611 A158612 A158613 * A158615 A158616 A158617

KEYWORD

nonn

AUTHOR

Ki Punches (ki1212(AT)pocketmail.com), Mar 22 2009, Mar 29 2009

EXTENSIONS

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 07 2009

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Last modified February 14 18:47 EST 2012. Contains 205663 sequences.