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Search: id:A056907
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| A056907 |
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Numbers n where 36n^2+12n+5 is prime (sorted by absolute values with negatives before positives). |
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+0
3
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| 0, -1, 1, 2, -3, -6, 6, -8, -11, 11, 12, 14, -16, 16, 17, 19, -21, -23, -26, 27, -28, 32, -34, -36, 36, -39, 39, -41, 42, 44, -46, 46, -48, -49, 51, 52, -53, -58, 62, 64, 67, -68, -71, 71, -76, 77, 79, 81, -84, -89, 91, 96, -99, -101, 101, 102, -104, -111, 111, -113
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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36m^2+12m+5=(6m+1)^2+4 which is four more than a square. Except for a(0), a(n) is never a multiple of 5.
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EXAMPLE
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a(3)=2 since 36*2^2+12*2+5=173 which is prime (as well as being four more than a square)
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CROSSREFS
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This sequence and formula, together with A056908 and its formula, generate all primes of the form k^2+4, i.e. A005473. Except for the first term, this sequence is a subsequence of A047201. Cf. A056900, A056902, A056904, A056906.
Sequence in context: A099162 A023832 A080235 this_sequence A039799 A144583 A155215
Adjacent sequences: A056904 A056905 A056906 this_sequence A056908 A056909 A056910
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KEYWORD
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sign
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 07 2000
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