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A065728 Partition numbers (A000041) that are semiprimes (A001358). 4
15, 22, 77, 1255, 2012558, 2679689, 9289091, 18004327, 38887673, 56634173, 72533807, 82010177, 104651419, 2056148051, 2552338241, 20390982757, 27517052599, 118159068427, 749474411781, 5134205287973, 18028182516671 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

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.

FORMULA

A064911(a(n))*A167392(a(n)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 03 2009]

EXAMPLE

E.g. the 808-th partition number 8151756509675604512522473567 = 5963320232189 * 1366982853893003.

PROG

(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]

CROSSREFS

Intersection of A001358 and A000041. Cf. A049575, A065729.

Sequence in context: A109288 A018889 A186525 * A166665 A014312 A129387

Adjacent sequences:  A065725 A065726 A065727 * A065729 A065730 A065731

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 18 2001.

EXTENSIONS

OFFSET changed from 0,1 to 1,1 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 28 2009

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Last modified February 16 09:00 EST 2012. Contains 205904 sequences.