login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified May 23 02:46 EDT 2017. Contains 286909 sequences.