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Search: id:A119654
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| A119654 |
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a(n) is the smallest number that starts a consecutive block of n numbers with at least n prime divisors (counting multiplicity) each. |
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+0
1
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OFFSET
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1,1
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COMMENT
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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]
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EXAMPLE
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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.
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CROSSREFS
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Sequence in context: A001697 A006069 A052457 this_sequence A008926 A136468 A132523
Adjacent sequences: A119651 A119652 A119653 this_sequence A119655 A119656 A119657
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KEYWORD
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hard,more,nonn
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AUTHOR
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Tanya Khovanova & Alexey Radul (tanyakh(AT)yahoo.com), Jul 28 2006
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EXTENSIONS
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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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