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 A088302 Smallest integer value of n!/(2!3!...p!), where denominator contains product of factorials of primes in increasing order. 4
 1, 3, 2, 10, 60, 420, 28, 252, 2520, 27720, 66, 858, 12012, 180180, 2882880, 49008960, 882161280, 16761064320, 8398, 176358, 3879876, 89237148, 2141691552, 53542288800, 1392099508800, 37586686737600, 1052427228652800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS n!/{prime(1)!*prime(2)!*prime(3)!...*prime(k)!} where k is the largest integer such that {prime(1)!*prime(2)!*prime(3)!...*prime(k)!} divides n!. LINKS EXAMPLE a(8) = 8!/2!3!5! = 28, as 28/7! is not an integer. a(12) = 12!/{2!*3!*5!*7!} = 66. MATHEMATICA f[n_] := Block[{k = 1}, While[ IntegerQ[ n!/Product[ Prime[i]!, {i, k}]], k++ ]; n!/Product[Prime[i]!, {i, k - 1}]]; Table[ f[n], {n, 2, 28}] (* Robert G. Wilson v, Jun 21 2004 *) CROSSREFS Similar to but different from A074199. Sequence in context: A070033 A107334 A096073 * A074199 A153187 A248242 Adjacent sequences:  A088299 A088300 A088301 * A088303 A088304 A088305 KEYWORD nonn AUTHOR Amarnath Murthy, Sep 30 2003 EXTENSIONS More terms from Ray Chandler, Oct 06 2003 Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Jun 08 2007 STATUS approved

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Last modified February 24 13:05 EST 2020. Contains 332209 sequences. (Running on oeis4.)