

A067822


The start of a recordbreaking run of consecutive integers with a number of prime factors equal to 7.


5




OFFSET

1,1


LINKS



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[nl, " ", l]]; l=0]]


CROSSREFS



KEYWORD

fini,more,nonn


AUTHOR



EXTENSIONS



STATUS

approved



