A093449 - OEIS

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

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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 A375534

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