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A093697
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Least k so that n! >= primorial(k).
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1
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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; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| a(9) = 7 because p#_6 = 30030 < 9! = 362880 < p#_7 = 510510.
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MATHEMATICA
| Primorial[n_] := Product[ Prime[i], {i, n}]; f[n_] := Block[{k = 1}, While[ Primorial[k] < n!, k++ ]; k]; Table[ f[n], {n, 75}]
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CROSSREFS
| Cf. A048964.
Sequence in context: A100721 A095703 A101041 * A157466 A194260 A097043
Adjacent sequences: A093694 A093695 A093696 * A093698 A093699 A093700
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KEYWORD
| easy,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 09 2004
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