A092981 Least product of successive primes beginning from just greater than n which is > n!.

2, 3, 35, 35, 1001, 1001, 46189, 46189, 1062347, 30808063, 86822723, 3212440751, 10131543907, 435656388001, 20475850236047, 1085220062510491, 3766351981654057, 229747470880897477, 810162134158954261

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..449

Example

a(1) = 2 because the first prime >1 is 2 and 2 is > 1!
a(2) = 3 because the first prime >2 is 3 and 3 is > 2!
a(3) = 5*7 because first prime >3 is 5 and 5<3! but 5*7 >3!
a(7) = 46189 = 11*13*17*19 > 7!=5040 > 11*13*17= 2431.

Maple

f:= proc(n) local t, p, P;
  t:= n!;
  P:= 1; p:= n;
  do
    p:= nextprime(p);
    P:= P*p;
    if P > t then return P fi
  od
end proc:
map(f, [$1..25]); # Robert Israel, Apr 14 2021

Crossrefs

Cf. A092982.

Sequence in context: A025136 A195030 A347338 * A042167 A126910 A143887

Adjacent sequences: A092978 A092979 A092980 * A092982 A092983 A092984

Keyword

nonn

Author

Amarnath Murthy, Mar 28 2004

Extensions

Corrected and extended by Mark Hudson (mrmarkhudson(AT)hotmail.com), Jul 23 2004

More terms from David Wasserman, Aug 21 2006

Status

approved