id:A079879 - OEIS Search Results

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Median prime factor: a(1)=1 and for n>1: least prime p such that not more than floor(Omega(n)/2) prime factors are greater p; Omega(n) is the total number of prime factors of n (A001222).

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1, 2, 3, 2, 5, 2, 7, 2, 3, 2, 11, 2, 13, 2, 3, 2, 17, 3, 19, 2, 3, 2, 23, 2, 5, 2, 3, 2, 29, 3, 31, 2, 3, 2, 5, 2, 37, 2, 3, 2, 41, 3, 43, 2, 3, 2, 47, 2, 7, 5, 3, 2, 53, 3, 5, 2, 3, 2, 59, 2, 61, 2, 3, 2, 5, 3, 67, 2, 3, 5, 71, 2, 73, 2, 5, 2, 7, 3, 79, 2, 3, 2, 83, 2, 5, 2, 3, 2, 89, 3, 7, 2, 3, 2, 5, 2 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A020639(n)<= a(n)<=A006530(n);` `a(m)=A020639(m)=A006530(m) iff m is a prime power (A000961).`
	EXAMPLE	`a(30)=a(235)=3; a(60)=a(2235)=2; a(72)=a(22233)=2; a(90)=a(2335)=3; a(108)=a(22333)=3; a(144)=a(222233)=2; a(216)=a(222333)=2.`
	CROSSREFS	`Cf. A033676, O000002, A079880, A079881.` `Sequence in context: A092028 A020639 A092067 this_sequence A071889 A091963 A067695` `Adjacent sequences: A079876 A079877 A079878 this_sequence A079880 A079881 A079882`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 13 2003`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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