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January 27, 2015

January 27, 2015

Posted by **Mathslover Please help** on Sunday, May 5, 2013 at 11:53pm.

Determine a three digit positive integer M such that N≡M(mod179×233).

Details and assumptions

You may use the fact that 179 and 233 are primes.

- Math -
**pi**, Monday, May 6, 2013 at 9:45am412

- Math -
**fudgee**, Tuesday, May 7, 2013 at 11:45amhow did you do it?

- Math -
**Girish Gupta**, Monday, November 4, 2013 at 6:48amN = 179(mod 233)

N = 233(mod 179)

N = 179 + 233t

179 + 233t = 233(mod 179)

233t = 233 (mod 179)

t = 1

N = M = 179 + 233(1) = 412 (mod 179*233).

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