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Search: id:A002384
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| A002384 |
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Numbers n such that n^2 + n + 1 is prime.
(Formerly M0626 N0228)
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+0
23
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| 1, 2, 3, 5, 6, 8, 12, 14, 15, 17, 20, 21, 24, 27, 33, 38, 41, 50, 54, 57, 59, 62, 66, 69, 71, 75, 77, 78, 80, 89, 90, 99, 101, 105, 110, 111, 117, 119, 131, 138, 141, 143, 147, 150, 153, 155, 161, 162, 164, 167, 168, 173, 176, 188, 189, 192, 194, 203, 206, 209, 215
(list; graph; listen)
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OFFSET
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1,2
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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.
D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 46.
L. Poletti, Le serie dei numeri primi appartenente alle due forme quadratiche (A) n^2+n+1 e (B) n^2+n-1 ..., Atti della Reale Accademia Nazionale dei Lincei, Memorie della Classe di Scienze Fisiche, Matematiche e Naturali, s. 6. 3 (1929), 193-218.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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FORMULA
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a(n) = (A088503(n-1)-1)/2. - Chandler
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CROSSREFS
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Cf. A002383, A049407, A049408, A075723, A088503, A110284.
Adjacent sequences: A002381 A002382 A002383 this_sequence A002385 A002386 A002387
Sequence in context: A098491 A107947 A120768 this_sequence A002243 A094763 A125559
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 07 2005
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