%I A093449
%S A093449 2,6,30,210,2730,39270,510510,23393370,363993630,64790866140,
%T A093449 530514844860,126408523110870,3425113062060690,660393717163700520,
%U A093449 26657280574571657010,3448055881024876471350,308480161111936386482910
%N A093449 Least number with n distinct prime divisors arising as the product of 
               two or more consecutive integers.
%C A093449 2, 6, 30, 210 and 510510 are primorials (A002110). There are no more 
               primorials in the first 300 terms.
%C A093449 Upper bounds for a(14)-a(18): 660393717163700520, 28386773771493397260, 
               3448055881024876471350, 308480161111936386482910, 32521466098360753728404190.
%e A093449 a(7) = 510510 = 714*715 has prime divisors 2, 3, 5, 7, 11, 13 and 17.
%Y A093449 Cf. A002110, A045619, A093450.
%Y A093449 Sequence in context: A046853 A136351 A071290 this_sequence A083002 A077176 
               A101178
%Y A093449 Adjacent sequences: A093446 A093447 A093448 this_sequence A093450 A093451 
               A093452
%K A093449 hard,nonn
%O A093449 1,1
%A A093449 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 03 2004
%E A093449 Edited, corrected and extended by David Wasserman (dwasserm(AT)earthlink.net), 
               Mar 21 2007
%E A093449 a(14)-a(17) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 
               13 2008