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Search: id:A158791
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| A158791 |
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Numbers n such that 30*n + 23 is prime. |
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+0 9
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| 0, 1, 2, 3, 5, 7, 8, 9, 11, 12, 14, 16, 18, 19, 21, 22, 24, 25, 28, 31, 32, 33, 36, 38, 39, 40, 42, 45, 47, 49, 50, 51, 52, 53, 57, 60, 63, 65, 66, 68, 71, 73, 74, 75, 77, 79, 80, 84, 87, 88, 89, 91, 94, 96, 98, 100, 102, 106, 110, 113, 117, 119, 120, 126, 127, 128, 130, 133
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Encoded primes with LSD 3 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.
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FORMULA
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a(n) = (A132235(n) - 23)/30 = Floor[A132235(n)/30]. - Chandler
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EXAMPLE
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Example: 3623, with LSD 3 and (SOD-1)/3 non-integer; Then 3623/30 = 120.766, or 120, which is in the sequence, thus 3623 is prime.
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CROSSREFS
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Cf. A111175, A158573, A158614, A158648, A158746, A158806, A158850.
Sequence in context: A053661 A134623 A156271 this_sequence A144717 A039019 A047255
Adjacent sequences: A158788 A158789 A158790 this_sequence A158792 A158793 A158794
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KEYWORD
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nonn
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AUTHOR
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Ki Punches (ki1212(AT)pocketmail.com), Mar 26 2009
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EXTENSIONS
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Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 07 2009
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