Is 4^2007 + 2007^4 a Prime Number?

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To determine if 4^2007 + 2007^4 is a prime number, one approach is to utilize modular arithmetic, which can help identify divisibility. A participant suggests writing a program to compute the result, indicating that the expression is not prime without elaborating further. The discussion emphasizes the importance of mathematical techniques rather than mere speculation. The hint provided suggests that if a prime number p divides the expression, it should be congruent to 0 mod p. Overall, the consensus is that the expression is not prime, and modular arithmetic is a valuable tool for verification.
muna580
How do I find out if 4^2007 + 2007^4 is a prime number or not?
 
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Is that a question or a puzzle?
 
Write a program and let the computer figure it out. :biggrin:
 
I will tell you, it's not prime; I don't want to say more.
 
Last edited:
try using modular arithmetic. i.e. p divides N if N is congruent to 0 modp.

this is not speculation, this is a hint.
 
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