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A Composite Determination Problem (Posted on 2006-04-23) Difficulty: 3 of 5
Determine whether or not N is a composite number, where

N = 675*2621 + 677*2610 - 1

NOTE:
A prime number (or a prime) is a natural number that has exactly two (distinct) natural number divisors, which are 1 and the prime number itself. A composite number is a positive integer which has a positive divisor other than one or itself. By definition, every integer greater than one is either a prime number or a composite number. The numbers 0 and 1 are considered to be neither prime nor composite.

See The Solution Submitted by K Sengupta    
Rating: 4.3333 (3 votes)

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Some Thoughts A first stab at the solution | Comment 5 of 14 |
Since 26=676, we have N=
(262-1)2621+ (262+1)2610-1=
2623-2621+2612+2610-1.

And for now, that's as far as I got... I tried mod 3, mod 5, mod 7, but it didn't work.


  Posted by e.g. on 2006-04-23 12:10:50
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