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A067814
The start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 4.
5
16, 135, 1274, 4023, 12122, 204323, 355923, 3405122, 49799889, 202536181, 3195380868, 5208143601, 85843948321, 97524222465
OFFSET
1,1
COMMENTS
3405122 is the first number having 8 and 9 consecutive integers with 4 prime factors. - T. D. Noe, Mar 19 2014
EXAMPLE
a(4)=4023 because 4023 is the start of a record breaking run of 4 consecutive integers (4023 to 4026) each having 4 prime factors; i.e. bigomega(n)=A001222(n)=4 for n = 4023, ..., 4026.
MATHEMATICA
bigomega[n_] := Plus@@Last/@FactorInteger[n]; For[n=1; m=l=0, True, n++, If[bigomega[n]==4, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]
CROSSREFS
KEYWORD
fini,full,nonn
AUTHOR
Shyam Sunder Gupta, Feb 07 2002
EXTENSIONS
Edited by Dean Hickerson, Jul 31 2002
More terms from Don Reble, Aug 11 2002, who remarks that the sequence is now complete.
STATUS
approved