id:A061234 - OEIS Search Results

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Smallest number with p(n)^2 divisors where p(n) is n-th prime.

+0
5

6, 36, 1296, 46656, 60466176, 2176782336, 2821109907456, 101559956668416, 131621703842267136, 6140942214464815497216, 221073919720733357899776, 10314424798490535546171949056, 13367494538843734067838845976576 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n)=Min{x\|d(x)=A000005(x)=p(n)^2}=6^[p(n)-1] because x=2^[pp-1] > 2^[p-1]3^[p-1] holds if p>1.`
	EXAMPLE	`1296=2.2.2.2.3.3.3.3 is the smallest number with 25 divisors.`
	CROSSREFS	`A000005, A005179, A003680, A037992, A061283, A061286, A061148, A061149.` `Sequence in context: A077290 A082027 A069031 this_sequence A061584 A067213 A003351` `Adjacent sequences: A061231 A061232 A061233 this_sequence A061235 A061236 A061237`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jun 01 2001`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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