A090522 Largest prime of the form floor(n!/k). Primes arising in A090521.

2, 3, 3, 17, 37, 229, 2371, 4903, 125131, 525221, 7149277, 127082057, 2812202941, 30411031813, 220239893557, 6028600476203, 206528184055741, 2966953668508097, 14063017388304277, 646720786983663797

Offset

2,1

References

Amarnath Murthy, "Smarandache Reciprocal Function and an elementary inequality". Smarandache Notions Journal, Vol. 11, 2000.

Links

Vincenzo Librandi, Table of n, a(n) for n = 2..450

Mathematica

Table[k := 1; While[Not[PrimeQ[Floor[n!/k]]], k++ ]; Floor[n!/k], {n, 2, 40}] (* Stefan Steinerberger, Apr 10 2006 *)

Crossrefs

Cf. A090521.

Sequence in context: A039792 A076358 A208798 * A114728 A057676 A062168

Adjacent sequences: A090519 A090520 A090521 * A090523 A090524 A090525

Keyword

nonn

Author

Amarnath Murthy, Dec 07 2003

Extensions

More terms from Stefan Steinerberger, Apr 10 2006

Status

approved