id:A109674 - OEIS Search Results

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a(n)^(n/a(n)) = A092975(n) and a(n) is a prime.

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

	OFFSET	`1,2`
	MAPLE	`A092975 := proc(n) local d, a ; a :=0 ; for d in numtheory[divisors](n) do a := max(a, (n/d)^d) ; od: RETURN(a) ; end: A109674 := proc(n) local d, a092975, p ; if n = 1 then RETURN(1) ; fi ; a092975 := A092975(n) ; for d in numtheory[divisors](n) do p := n/d ; if isprime(p) and p^(n/p) = a092975 then RETURN(p) ; fi ; od: end: seq( A109674(n), n=1..120) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 12 2008`
	CROSSREFS	`Sequence in context: A078834 A039634 A078833 this_sequence A067629 A079870 A076690` `Adjacent sequences: A109671 A109672 A109673 this_sequence A109675 A109676 A109677`
	KEYWORD	`easy,nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 06 2005`
	EXTENSIONS	`More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 12 2008`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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