id:A068319 - OEIS Search Results

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a(n) = if n <= lpf(n)^2 then lpf(n) else a(lpf(n) + n/lpf(n)), where lpf = least prime factor, A020639.

+0
5

1, 2, 3, 2, 5, 5, 7, 5, 3, 7, 11, 5, 13, 3, 5, 7, 17, 11, 19, 5, 7, 13, 23, 3, 5, 5, 5, 7, 29, 17, 31, 11, 3, 19, 5, 5, 37, 7, 7, 13, 41, 23, 43, 3, 11, 5, 47, 5, 7, 5, 5, 7, 53, 29, 7, 17, 13, 31, 59, 11, 61, 3, 3, 19, 11, 5, 67, 5, 5, 37, 71, 7, 73, 7 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`n>1: a(n) is prime and a(n)=n iff n is prime.` `a(n) = if n <= A088377(n) then A020639(n) else a(A111234(n)).`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 0..100`
	EXAMPLE	`a(12)=a(26)=a(8)=a(24)=a(6)=a(23)=a(5)=a(51)=5.`
	CROSSREFS	`Cf. A032742.` `Sequence in context: A074251 A074196 A153023 this_sequence A133775 A099043 A021047` `Adjacent sequences: A068316 A068317 A068318 this_sequence A068320 A068321 A068322`
	KEYWORD	`nonn,nice`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 27 2002, Jul 13 2007`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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