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Search: id:A065728
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| 15, 22, 77, 1255, 2012558, 2679689, 9289091, 18004327, 38887673, 56634173, 72533807, 82010177, 104651419, 2056148051, 2552338241, 20390982757, 27517052599, 118159068427, 749474411781, 5134205287973, 18028182516671
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Enoch Haga (enochhaga(AT)msn.com) asks if this is be a finite sequence. The larger these numbers get, the more opportunity for more factors.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,100
Hisanori Mishima, Factor ization results
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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A064911(a(n))*A167392(a(n)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 03 2009]
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EXAMPLE
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E.g. the 808-th partition number 8151756509675604512522473567 = 5963320232189 * 1366982853893003.
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PROGRAM
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(PARI) { n=0; for (m=1, 10^9, p=numbpart(m); if (bigomega(p) == 2, write("b065728.txt", n++, " ", p); if (n==100, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 28 2009]
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CROSSREFS
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Intersection of A001358 and A000041. Cf. A049575, A065729.
Sequence in context: A114867 A109288 A018889 this_sequence A166665 A014312 A129387
Adjacent sequences: A065725 A065726 A065727 this_sequence A065729 A065730 A065731
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KEYWORD
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nonn,new
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 18 2001.
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EXTENSIONS
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OFFSET changed from 0,1 to 1,1 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 28 2009
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