A093449 Least number with n distinct prime divisors arising as the product of two or more consecutive integers.

2, 6, 30, 210, 2730, 39270, 510510, 23393370, 363993630, 64790866140, 530514844860, 126408523110870, 3425113062060690, 660393717163700520, 26657280574571657010, 3448055881024876471350, 308480161111936386482910

Offset

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..17.

Example

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

Crossrefs

Cf. A002110, A045619, A093450.

Sequence in context: A136351 A071290 A185693 * A083002 A192929 A077176

Adjacent sequences: A093446 A093447 A093448 * A093450 A093451 A093452

Keyword

hard,nonn

Author

Amarnath Murthy, Apr 03 2004

Extensions

Edited, corrected and extended by David Wasserman, Mar 21 2007

a(14)-a(17) from Donovan Johnson, Sep 13 2008

Status

approved