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Search: id:A001912
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| A001912 |
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Numbers n such that 4*n^2 + 1 is prime.
(Formerly M0636 N0232)
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+0
14
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| 1, 2, 3, 5, 7, 8, 10, 12, 13, 18, 20, 27, 28, 33, 37, 42, 45, 47, 55, 58, 60, 62, 63, 65, 67, 73, 75, 78, 80, 85, 88, 90, 92, 102, 103, 105, 112, 115, 118, 120, 125, 128, 130, 132, 135, 140, 142, 150, 153, 157, 163, 170, 175, 192, 193, 198, 200
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
E. Kogbetliantz and A. Krikorian, Handbook of First Complex Prime Numbers, Gordon and Breach, NY, 1971, p. 1.
M. Kraitchik, Recherches sur la Th\'{e}orie des Nombres. Gauthiers-Villars, Paris, Vol. 1, 1924, Vol. 2, 1929, see Vol. 1, p. 11.
C. S. Ogilvy, Tomorrow's Math. 2nd ed., Oxford Univ. Press, 1972, p. 116.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
Marek Wolf, Search for primes of the form m^2+1
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FORMULA
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a(n) = A005574(n+1)/2.
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MATHEMATICA
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lst={}; Do[If[PrimeQ[4*n^2+1], AppendTo[lst, n]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 04 2008]
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CROSSREFS
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Cf. A002496, A005574, A062325, A090693.
Adjacent sequences: A001909 A001910 A001911 this_sequence A001913 A001914 A001915
Sequence in context: A047222 A028763 A143826 this_sequence A083027 A060107 A159556
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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