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A002333 Numbers y such that p = x^2 + 2y^2, with prime p = A033203(n).
(Formerly M0444 N0166)
4
1, 1, 1, 2, 3, 4, 3, 5, 3, 6, 1, 2, 6, 7, 4, 5, 8, 3, 9, 7, 6, 9, 1, 2, 6, 11, 4, 10, 9, 3, 12, 9, 12, 13, 8, 3, 14, 12, 13, 6, 1, 2, 12, 11, 5, 15, 16, 9, 3, 13, 8, 15, 12, 17, 16, 6, 14, 15, 10, 3, 17, 18, 11, 9, 15, 4, 18, 9, 20, 15, 7, 8, 3, 20, 21, 21, 10, 18, 19, 16, 11, 22, 18 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
The corresponding x numbers are given in A002332.
REFERENCES
A. J. C. Cunningham, Quadratic Partitions. Hodgson, London, 1904, p. 1.
D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 55.
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).
LINKS
A. J. C. Cunningham, Quadratic Partitions, Hodgson, London, 1904. [Annotated scans of selected pages]
MATHEMATICA
g[p_] := For[y=1, True, y++, If[IntegerQ[Sqrt[p-2y y]], Return[y]]]; g/@Select[Prime/@Range[1, 200], Mod[ #, 8]<4&]
CROSSREFS
Cf. A002332.
Sequence in context: A322816 A323078 A331301 * A323241 A322311 A323237
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Dean Hickerson, Oct 07 2001
STATUS
approved

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Last modified March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)