This site is supported by donations to The OEIS Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A091689 Smallest partition number with n-th prime as factor. 1
 2, 3, 5, 7, 11, 3718, 386155, 627, 8349, 2436, 75175, 34262962, 14883, 3010, 526823, 281589, 386155, 1064144451, 124754, 63261, 105558, 2552338241, 4565, 1958, 75175, 101, 12132164, 118114304, 37274405776748077, 1505499, 37338, 6185689 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) = A000041(A091690(n)); Erdos conjectured that every prime divides at least one value of the partition function, see Ahlgren, Ono - link. LINKS S. Ahlgren and K. Ono, Addition and Counting: The Arithmetic of Partitions, p. 982 G. P. Michon, Table of partition function p(n) (n=0 through 4096) Eric Weisstein's World of Mathematics, Partition Function P Congruences EXAMPLE n=10, A000040(10)=29: a(10) = A000041(26) = 2436 = 29*7*3*2*2, as 29 doesn't divide smaller partition numbers. CROSSREFS Cf. A051143, A049575, A046063. Sequence in context: A062888 A046483 A114835 * A046482 A046941 A116692 Adjacent sequences:  A091686 A091687 A091688 * A091690 A091691 A091692 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jan 29 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 20 02:13 EST 2019. Contains 319320 sequences. (Running on oeis4.)