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Solutions x for x^3-1 = kp where p is prime and k=1,2...
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%I #3 Oct 01 2013 17:57:47

%S 3,5,15,17,7,21,27,33,13,41,19,9,57,59,5,69,11,71,75,77,89,31,99,101,

%T 9,105,111,7,117,119,43,131,141,143,147,153,23,155,161,167,173,189,11

%N Solutions x for x^3-1 = kp where p is prime and k=1,2...

%o (PARI) xpm1(n,m,pow) = { forstep(k=2,m,2, forstep(x=1,n,2, y= x^pow - 1; z=floor(y/k); if(floor(y/k)*k==y, if(isprime(z), print1(x",") ) ) ) )

%K easy,nonn

%O 1,1

%A _Cino Hilliard_, Dec 07 2003