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A067822
The start of a record-breaking run of consecutive integers with a number of prime factors equal to 7.
5
128, 29888, 3145310, 296299374, 15605704374, 242576758750, 1981162639374, 126460514648223
OFFSET
1,1
EXAMPLE
a(3) = 3145310 because 3145310 is the start of a record breaking run of 3 consecutive integers (3145310 to 3145312) each having 7 prime factors; i.e., bigomega(n) = A001222(n) = 7 for n = 3145310, ..., 3145312.
MATHEMATICA
bigomega[n_] := Plus@@Last/@FactorInteger[n]; For[n=1; m=l=0, True, n++, If[bigomega[n]==7, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]
CROSSREFS
KEYWORD
fini,more,nonn
AUTHOR
Shyam Sunder Gupta, Feb 07 2002
EXTENSIONS
Edited by Dean Hickerson, Jul 31 2002
More terms from Jens Kruse Andersen, Aug 23 2003
a(7) from Donovan Johnson, Jan 31 2009
a(8) from Brian Trial, Jun 28 2017
STATUS
approved