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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
2, 8, 98, 3624, 632148, 1008753052, 1981162639374 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

a(8) > 10^13. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009]

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: A001697 A006069 A052457 * A173976 A008926 A136468

Adjacent sequences:  A119651 A119652 A119653 * A119655 A119656 A119657

KEYWORD

hard,more,nonn

AUTHOR

Tanya Khovanova & Alexey Radul (tanyakh(AT)yahoo.com), Jul 28 2006

EXTENSIONS

a(6) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 07 2008

a(7) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009

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Last modified February 14 17:27 EST 2012. Contains 205644 sequences.