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 A Composite Determination Problem (Posted on 2006-04-23)
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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 brute force | Comment 9 of 14 |
`list   10   N=675*(26^21)+677*(26^10)-1   15   print N   20   for I=1 to 5000000   30   P=nxtprm(P)   35   if P*P>N then cancel for:goto 80   40   while N@P=0   50          print P;:N=N//P   60   wend   70   next   80   print NOKrun 349739013110925226193694221284351 29  1949  18451  33409  54199861  185204990569OK`

The number in question is 349739013110925226193694221284351
and factors into the primes:

29  1949  18451  33409  54199861  185204990569

 Posted by Charlie on 2006-04-23 14:40:04

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