[seqfan] "zig-zag pseudoprimes"

[Vladimir Shevelev]

Dear SeqFans,

Recently I proved (not basing on Fermat little theorem) that  if n==1(mod 4) is prime, then 
A000111(n)==1(mod n); if n==3(mod 4) is prime, then A000111(n)==-1(mod n). 
I call possible composite numbers m with such property "zig-zag pseudoprimes". If anyone can find a few zig-zag pseudoprimes and in case of success - to submit  sequence of them?

Regards,
Vladimir

 Shevelev Vladimir‎