perplexus.info :: Just Math : Modular mathematics

Modular mathematics (Posted on 2012-12-28)

Determine all pairs of positive integers(a,p) where p is a prime and

(a modp)+(a mod2p)+(a mod3p)+(a mod4p)=a+p

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 4.0000 (1 votes)

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Generalization (p is not prime)

Comment 4 of 4 |

If p is not prime, the solutions are

(n,3n), (3n,n) and (17n,3n) where n > 0

Posted by Steve Herman on 2012-12-31 11:43:08

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