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Home Science Mathematics Number Theory Prime Numbers Mersenne

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Mersenne
http://ourworld.compuserve.com/homepages/hlifchitz/Henri/us/MersFermus.htm


Henri LIFCHITZ's Mersenne and Fermat primes field
Mersenne and Fermat primes field Let NMF(b, p, n)= (b^(p^(n+1))-1)/(b^(p^n)-1) These numbers contain under the single general form the main remarkable numbers of number theory.Indeed, we obtains : - for b=2 and n=0 those are Mersenne's numbers. - for b=+/-2 et p=2 those are Fermat's numbers. - for b even and p=2 those are Generalized Fermat. - for b 2 and n=0 those are repunits base b. These ...




 

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