[seqfan] Re: n-Wall-Sun-Sun primes

Richard J. Mathar mathar at mpia-hd.mpg.de
Thu Apr 21 18:44:27 CEST 2016


In response to http://list.seqfan.eu/pipermail/seqfan/2016-April/016278.html :

I don't understand the first terms in the Wikipedia article
https://en.wikipedia.org/wiki/Wall%E2%80%93Sun%E2%80%93Sun_prime .
The Lucas sequence of the second type V_n(2,-1) is A002203 at k=2.
V_2(2,-1)=6
V_3(2,-1)=14
...
V_13(2,-1) = 94642

Now 94642 mod (13^2) = 2, whereas according to the definition this needs to 
be 1 if 13 is supposed to be the smallest k-Wall-Sun-Sun prime for k=2 (?).
So according to the "alternative" definition 13 is *not* the smallest
2-Wall-Sun-Sun prime.

Also, the V_n(3,-1) sequence is A006497(n) and the term A006497(241) mod 241^2 
is 3, not 1.

Richard



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