A093449 - OEIS

%I #8 Dec 05 2013 19:56:47

%S 2,6,30,210,2730,39270,510510,23393370,363993630,64790866140,

%T 530514844860,126408523110870,3425113062060690,660393717163700520,

%U 26657280574571657010,3448055881024876471350,308480161111936386482910

%N Least number with n distinct prime divisors arising as the product of two or more consecutive integers.

%C 2, 6, 30, 210 and 510510 are primorials (A002110). There are no more primorials in the first 300 terms.

%C Upper bounds for a(14)-a(18): 660393717163700520, 28386773771493397260, 3448055881024876471350, 308480161111936386482910, 32521466098360753728404190.

%e a(7) = 510510 = 714*715 has prime divisors 2, 3, 5, 7, 11, 13 and 17.

%Y Cf. A002110, A045619, A093450.

%K hard,nonn

%O 1,1

%A _Amarnath Murthy_, Apr 03 2004

%E Edited, corrected and extended by _David Wasserman_, Mar 21 2007

%E a(14)-a(17) from _Donovan Johnson_, Sep 13 2008