n through n+7 have same d() / A049053

[Ralf Stephan]

Hello,
A049053 gives all numbers n where n,n+1,...,n+6 have the same number
of divisors. Allan Swett gave a counterexample to my conjecture that
n is 5 mod 16 while searching for solutions to the problem with n...n+7.

He asks:
> I was hoping to find 8 consecutive having same d()... I 
> didn't spot evidence of this so far... do you know if this is impossible?

I did not find such a sequence in the OEIS but maybe seqfans know?


Regards,
ralf