Hi:
10/22/1998

  I was looking at the available ranges to test Mersenne primes and I noticed
 the range included exponents which by definition cannot yield primes.
  
  I looked at some Mersenne htmls and didn't see any mention of even
 number exponents excluded from the search.

 if the exponent, n, is an even number integer  then 2^n is a square and
2^n-1 
 is factorable by:
 ((2^n)1/2 -1) ((2^n)1/2 +1) = 2^n-1

 Example ...  

 2^10 = 1024
 (2^10)1/2 = 32

 so:
 (2^10) - 1 = 1023
 ((2^10)1/2) -1 = 31 
 ((2^10)1/2) +1 = 33
 31(33) = 1023 

  My computer is a pentium 133,  64mb ram , 2gig hd, MS95, math coprocessor.
 Could I contribute to the prime search?
 
 Regards,

 Jim Broadhurst
 aiseki@aol,com 

Reply via email to