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Search: id:A006558
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| A006558 |
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Start of first run of n consecutive integers with same number of divisors.
(Formerly M2155)
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+0
14
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| 1, 2, 33, 242, 11605, 28374, 171893, 1043710445721, 2197379769820
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(10)<=14366256627859031643, a(11)<=193729158984658237901148, a(12)<=1284696910355238430481207644 - Bilgin Ali and Bruno Mishutka (bruno_mishutka(AT)hotmail.com), Dec 29 2006
a(10) <= 2642166652554075, a(11) <= 17707503256664346, a(12) <= 9827470582657267545. - David Wasserman (dwasserm(AT)earthlink.net), Feb 22 2008
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REFERENCES
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R. K. Guy "Unsolved Problems in Number Theory", section B18.
David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Penguin Books, NY, 1986, pages 147 and 176.
J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 33, pp 12, Ellipses, Paris 2008.
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CROSSREFS
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Cf. A000005, A005237, A005238, A006601, A049051, A019273, A039665.
Cf. A034173, A115158.
Sequence in context: A097978 A128152 A052403 this_sequence A002561 A030448 A093992
Adjacent sequences: A006555 A006556 A006557 this_sequence A006559 A006560 A006561
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KEYWORD
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nonn
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AUTHOR
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njas, Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
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Jud McCranie points out that the entry 40311 given in Guy and Wells is incorrect.
a(8) from Jud McCranie (j.mccranie(AT)comcast.net), Jan 20 2002
a(9) <= 2197379769820 from David Wasserman, Jan 08 2006; a(9)=2197379769820 from Jud McCranie, Jan 14 2006.
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