Hi I am unable to crack it anyone plz through some light. if p is a prime,p^2+2 is a prime prove that p^3 +2 is a prime.
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Originally Posted by Learner248 Hi I am unable to crack it anyone plz through some light. if p is a prime,p^2+2 is a prime prove that p^3 +2 is a prime. Hint: Any prime number bigger than 3 is congruent to 1 or 5 modulo 6.
Originally Posted by Learner248 Hi I am unable to crack it anyone plz through some light. if p is a prime,p^2+2 is a prime prove that p^3 +2 is a prime. If p is prime p=6k+1 or p=6k+5; 1)p=6k+1 then contradiction 2)p=6k+5,3| so you have a problem with your problem
Originally Posted by TheodorMunteanu If p is prime p=6k+1 or p=6k+5; 1)p=6k+1 then contradiction 2)p=6k+5,3| so you have a problem with your problem Only p=3 satisfying the problem conditions.
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