[seqfan] Re: Is this right? Main diagonal A[n.n] of array A[k, n] = n-th natural number m such that m and m+2 are both divisible by exactly k primes (counted with multiplicity).

Ray Chandler rayjchandler at sbcglobal.net
Fri Aug 13 18:55:34 CEST 2010


> I agree, and think I have 14 and 15, so A[k,n=k] begins
> 
> [3, 33, 42, 196, 918, 6640, 24750, 246078, 781248, 6565374, 
> 25227774, 165009150, 673932798, 5268548608, 25737162750]
> 
> using a crude sieve.  The same dataset gives
> 
> [3, 4, 18, 54, 270, 1888, 10528, 59776, 101248, 406782, 
> 6581248, 12164094, 65071998, 652963840, 6548416000, 13858918398]
> 
> for A[k,1], although I think this could be found much faster 
> than I'm doing it.
> 
> 
> Doug
> 

It appears A[k+1,1] = 2*A115186(k) so I'm guessing it continues

{3, 4, 18, 54, 270, 1888, 10528, 59776, 101248, 406782, 6581248, 
12164094, 65071998, 652963840, 6548416000, 13858918398, 145046192128, 
75389157376, 943344975870, 23114453401600, 108772434771966, 
101249475018750, 551785225781248} 

Ray





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