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A092981
Least product of successive primes beginning from just greater than n which is > n!.
2
2, 3, 35, 35, 1001, 1001, 46189, 46189, 1062347, 30808063, 86822723, 3212440751, 10131543907, 435656388001, 20475850236047, 1085220062510491, 3766351981654057, 229747470880897477, 810162134158954261
OFFSET
1,1
LINKS
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
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