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Prime power divisibility (Posted on 2024-10-15)

How many prime numbers p make the number 3^p²+p+1 + 7^p²+p+1 divisible by p?

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 5.0000 (1 votes)

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re: Analytic solution

| Comment 13 of 14 |

(In reply to Analytic solution by Paul)

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The prime factors of 370 are $2, 5,$ and $37$ .
Thus, the possible values for $p$ are: $p \in {2, 5, 37}$

Posted by kenvin12 on 2025-03-16 20:39:10

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