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Search: id:A002646
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| A002646 |
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Half-quartan primes: primes of the form p = (x^4 + y^4)/2.
(Formerly M5276 N2294)
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+0
2
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| 41, 313, 353, 1201, 3593, 4481, 7321, 8521, 10601, 14281, 14321, 14593, 21601, 26513, 32633, 41761, 41801, 42073, 42961, 49081, 56041, 66361, 67073, 72481, 90473, 97241, 97553, 104561, 106921, 111521, 139921, 141121, 165233, 195353, 198593
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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A. J. C. Cunningham, Binomial Factorisations, Vols. 1-9, Hodgson, London, 1923-1929; see Vol. 1, pp. 245-259.
J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 41, p. 16, Ellipses, Paris 2008.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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MAPLE
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for m from 1 to 15 do for n from 1 to m do a := ((2*m-1)^4+(2*n-1)^4)/2: if isprime(a) then print(m, n, a) fi od od;
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CROSSREFS
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Sequence in context: A074281 A090833 A154577 this_sequence A096170 A121671 A142501
Adjacent sequences: A002643 A002644 A002645 this_sequence A002647 A002648 A002649
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Len Smiley (smiley(AT)math.uaa.alaska.edu)
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