A182856 - OEIS

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A182856

a(0) = 1; for n > 0, a(n) = smallest positive integer whose prime signature contains, for k = 1 to n, exactly one positive number appearing exactly k times.

1, 2, 60, 1801800, 11657093261814000, 7167827541370578634694420017740000, 291943326350524088652207164949980988754136887856059678357800000 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	COMMENTS	`a(n) = smallest number m such that A181819(m) = A006939(n). a(n) belongs to A182855 iff n > 1.` `Next term has 105 digits.`
	LINKS	`Table of n, a(n) for n=0..6.` `D. Alpern, Factorization using the Elliptic Curve Method`
	FORMULA	`Partial products of A113511.` `log a(n) ~ (1/3) n^3 log n. [Charles R Greathouse IV, Jan 13 2012]`
	EXAMPLE	`The canonical prime factorization of a(3) = 1801800 is 2^33^25^2711*13. The prime signature of 1801800 is therefore (3,2,2,1,1,1). Note that (3,2,2,1,1,1) contains exactly one number that appears once (3), one number that appears twice (2), and one number that appears three times (1).`
	CROSSREFS	`Cf. A006939, A181819, A182855.` `Sequence in context: A231024 A121493 A078491 * A101896 A130411 A262079` `Adjacent sequences: A182853 A182854 A182855 * A182857 A182858 A182859`
	KEYWORD	`nonn`
	AUTHOR	`Matthew Vandermast, Jan 05 2011`
	STATUS	`approved`

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Last modified November 16 00:11 EST 2018. Contains 317252 sequences. (Running on oeis4.)