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Search: id:A083848
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| A083848 |
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a(n)^2 + 1 is largest prime of the form x^2 + 1 <= 2^n. |
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+0
6
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| 1, 1, 2, 2, 4, 6, 10, 14, 20, 26, 40, 56, 90, 126, 180, 250, 350, 496, 716, 1010, 1440, 2034, 2896, 4086, 5774, 8184, 11566, 16380, 23166, 32766, 46326, 65534, 92666, 131070, 185354, 262130, 370714, 524260, 741454, 1048554, 1482904, 2097146
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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It is conjectured that this sequence is infinite, but this has never been proved.
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REFERENCES
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G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, th. 17.
P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 190.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Landau's Problems.
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CROSSREFS
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Cf. A005574, A002496, A083844, A083845, A083846, A083847, A083849.
Sequence in context: A060988 A034406 A098330 this_sequence A139582 A034410 A050194
Adjacent sequences: A083845 A083846 A083847 this_sequence A083849 A083850 A083851
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KEYWORD
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nonn
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AUTHOR
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Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 05 2003
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