A119654 a(n) is the smallest number that starts a consecutive block of n numbers with at least n prime divisors (counting multiplicity) each.

2, 8, 98, 3624, 632148, 1008753052, 1981162639374

Offset

1,1

Comments

a(6) is greater than 50000000. - Tanya Khovanova & Alexey Radul, Jul 30 2006

a(8) > 10^13. - Donovan Johnson, Jan 31 2009

Links

Table of n, a(n) for n=1..7.

Example

Consider a(3): 98 = 2*7*7 (3 prime divisors), 99 = 3*3*11 (3 prime divisors), 100 = 2*2*5*5 (4 prime divisors). Hence 98 starts a consecutive block of 3 numbers with at least 3 prime divisors each. 98 is the smallest such number.

Crossrefs

Sequence in context: A270485 A223042 A052457 * A333439 A173976 A256398

Adjacent sequences: A119651 A119652 A119653 * A119655 A119656 A119657

Keyword

hard,more,nonn

Author

Tanya Khovanova & Alexey Radul, Jul 28 2006

Extensions

a(6) from Donovan Johnson, Apr 07 2008

a(7) from Donovan Johnson, Jan 31 2009

Status

approved