id:A093697 - OEIS Search Results

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Least k so that n! >= primorial(k).

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1, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 13, 14, 14, 15, 16, 17, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 37, 37, 38, 39, 40, 40, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 53, 53, 54, 55, 56, 57 (list; graph; listen)

	OFFSET	`1,3`
	EXAMPLE	`a(9) = 7 because p#_6 = 30030 < 9! = 362880 < p#_7 = 510510.`
	MATHEMATICA	`Primorial[n_] := Product[ Prime[i], {i, n}]; f[n_] := Block[{k = 1}, While[ Primorial[k] < n!, k++ ]; k]; Table[ f[n], {n, 75}]`
	CROSSREFS	`Cf. A048964.` `Sequence in context: A100721 A095703 A101041 this_sequence A157466 A097043 A053759` `Adjacent sequences: A093694 A093695 A093696 this_sequence A093698 A093699 A093700`
	KEYWORD	`easy,nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 09 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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