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Search: id:A153081
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| A153081 |
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Numbers n such that 2n + 13 is prime. |
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+0
2
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| 0, 2, 3, 5, 8, 9, 12, 14, 15, 17, 20, 23, 24, 27, 29, 30, 33, 35, 38, 42, 44, 45, 47, 48, 50, 57, 59, 62, 63, 68, 69, 72, 75, 77, 80, 83, 84, 89, 90, 92, 93, 99, 105, 107, 108, 110, 113, 114, 119, 122, 125, 128, 129, 132, 134, 135, 140, 147, 149, 150, 152, 159, 162, 167
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Or, (p-13)/2 for primes p >= 13.
a(n) = (A000040(n+5)-13)/2.
a(n) = A005097(n+4)-6.
a(n) = A067076(n+4)-5.
a(n) = A089038(n+3)-4.
a(n) = A105760(n+2)-3.
a(n) = A101448(n+1)-1.
a(n) = A089559(n-1)+1 for n>1.
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EXAMPLE
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For n = 7, 2*n+13 = 27 is not prime, so 7 is not in the sequence; for n = 8, 2*n+13 = 29 is prime, so 8 is in the sequence.
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PROGRAM
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(MAGMA) [ n: n in [0..167] | IsPrime(2*n+13) ];
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CROSSREFS
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Cf. A000040 (prime numbers), A005097 (2n+1 is prime), A067076 (2n+3 is prime), A089038 (2n+5 is prime), A105760 (2n+7 is prime), A101448 (2n+11 is prime), A089559 (2n+15 is prime).
Sequence in context: A051214 A013634 A133484 this_sequence A095952 A025033 A122933
Adjacent sequences: A153078 A153079 A153080 this_sequence A153082 A153083 A153084
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Dec 18 2008
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 22 2008
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