perplexus.info :: Just Math : All Primes

All Primes (Posted on 2018-11-17)

f(x) = x⁵ + 5x⁴ + 5x³ + 5x² + 1
g(x) = x⁵ + 5x⁴ + 3x³ - 5x² -1

For the above two functions find the sum of all prime numbers p for which there exists a natural number 0 <= x < p such that both f(x) and g(x) are divisible by p.

No Solution Yet Submitted by Danish Ahmed Khan

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re: solution

Comment 2 of 2 |

(In reply to solution by xdog)

Nicely explained!

Posted by Ady TZIDON on 2018-11-19 02:50:22

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