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A173288
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Either n^2+n+{1,9} is prime.
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1
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2, 3, 4, 5, 6, 8, 12, 13, 14, 15, 16, 17, 19, 20, 21, 24, 25, 27, 28, 33, 38, 41, 43, 49, 50, 54, 55, 57, 59, 62, 66, 69, 71, 75, 76, 77, 78, 79, 80, 88, 89, 90, 99, 101, 105, 106, 110, 111, 117, 118, 119, 121, 131, 138, 139, 141, 143, 145, 147, 150, 151, 153, 154, 155
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OFFSET
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1,1
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COMMENTS
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Or numbers n such that either n-th oblong number plus 1 or 9 is prime.
Numbers n such that n^2+n+1 or n^2+n+9 is prime, but not both. [From R. J. Mathar, Feb 21 2010]
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LINKS
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Table of n, a(n) for n=1..64.
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EXAMPLE
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a(1)=1 because 1^2+1+1=4=nonprime and 1^2+1+9=11=prime; a(2)=2 because 2^2+2+1=7=prime and 2^2+2+9=15=nonprime; a(3)=3 because 3^2+3+1=13=prime and 3^3+3+9=21=nonprime.
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MATHEMATICA
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Select[Range[200], Xor@@PrimeQ[#^2+#+{1, 9}]&] (* Harvey P. Dale, Apr 26 2013 *)
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CROSSREFS
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Cf. A000040, A002378.
Sequence in context: A181324 A050933 A103302 * A134677 A104419 A092232
Adjacent sequences: A173285 A173286 A173287 * A173289 A173290 A173291
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov, Feb 15 2010
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EXTENSIONS
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1 and 11 removed by R. J. Mathar, Feb 21 2010
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STATUS
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approved
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