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

Author

Amarnath Murthy, Apr 03 2004

Keywords

• hard
• nonn

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.

Examples

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

Crossrefs

Cf. A002110, A045619, A093450.

Extensions

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

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