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odd^2 + even

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  • Paul Underwood
    Hi there all, I ran (Pari): d=2;forstep(x=3,10^6+3,2,f=x^2+d;if(Mod(x,f)^f==x,if(!isprime(f),print (x, ,f)))) and there was no output. However, if I change
    Message 1 of 1 , Nov 3, 2003
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      Hi there all,

      I ran (Pari):

      d=2;forstep(x=3,10^6+3,2,f=x^2+d;if(Mod(x,f)^f==x,if(!isprime(f),print
      (x," ",f))))

      and there was no output. However, if I change 'd' to another positive
      even number I seem to get output.

      What is special about '2'? Can you find a Carmichael odd^2+2?

      Paul
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