

A119654


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


0




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 * A173976 A256398 A008926
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



