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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Subject	Author	Date
Generalization (p is not prime)	Steve Herman	2012-12-31 11:43:08
An improved methodology (spoiler)	Steve Herman	2012-12-31 10:44:20
Definitely all the cases (spoiler)	Steve Herman	2012-12-29 10:45:24
Likely all the cases	Charlie	2012-12-28 21:15:36

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