n..n+6 are all N-almost primes

[zak seidov]

Just dubmitted.

My Q to gurus:
Are there longer set(s) of successive numbers
n..n+m (m>6)
which are products of the same number (N) of primes
(including multiplicities)?

It seems that for  larger N's, 
the larger m's may be(?).

Thanks, Zak
  
%I A000001
%S A000001
211673,298433,355923,381353,460801,506521,540292,568729,690593,705953,737633,741305,921529
%N A000001 Numbers n such that factorizations of
n..n+6 have same number of primes (including
multiplicities).
%C A000001 Subset of A045940  Numbers n such that
factorizations of n..n+3 have same number of primes
(including multiplicities).
%e A000001 211673=7*11*2749, 211674=2*3*35279,
211675=5^2*8467, 211676=2^2*52919, 211677=3*37*1907,
211677=2*109*971, 211679=13*19*857 all 3-almost
primes;
355923=3^2*71*557, 355924=2^2*101*881,
355925=5^22*23*619, 355926=2*3*137*433,
355927=11*13*19*131, 355928=2^3*44491,
355929=3*7*17*997 all 4-almost primes.
%Y A000001 A045940.
%O A000001 1
%K A000001 ,nonn,
%A A000001 Zak Seidov  (zakseidov at yahoo.com), Nov 05
2006



 
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