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A056900
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Numbers n where 36n^2+36n+11 is prime.
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6
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0, 1, 2, 3, 5, 6, 7, 9, 13, 16, 17, 18, 19, 20, 24, 28, 36, 37, 39, 40, 41, 42, 45, 49, 50, 51, 53, 57, 58, 60, 61, 62, 64, 69, 70, 71, 73, 74, 75, 79, 83, 85, 91, 92, 93, 95, 100, 101, 108, 112, 113, 116, 118, 125, 129, 134, 136, 139, 144
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 36m^2+36m+11=(6m+3)^2+2, i.e. two more than the square of odd multiples of 3. 36m^2+36m+11=72*(m*(m+1)/2)+11, i.e. eleven more than seventy-two times triangular numbers.
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FORMULA
| a(n) =A002024((A056899(n+2)-11)/72)
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EXAMPLE
| a(3)=3 because 36*3^2+36*3+11=443 which is prime
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CROSSREFS
| This sequence (with the formula above) generates all except the first two terms of the sequence of primes of the form k^2+2, A056899.
Sequence in context: A153763 A050747 A074780 * A096594 A100693 A030159
Adjacent sequences: A056897 A056898 A056899 * A056901 A056902 A056903
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 05 2000
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