mersenneforum.org > Math Use of new Mersenne conjecture ?
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 2017-07-28, 20:34 #1 bhelmes     Mar 2016 23×37 Posts Use of new Mersenne conjecture ? A peaceful night for you, Is there a relationship between the primes of the form 2^p-1 and (2^p+1)/3. Or in other words, there are two quadratic polynomials: f(n)=2n^2-1 =(sqrt (2)n-1)*(sqrt (2)n+1) and f(m)=2m^2+1=(sqrt (2)m-i)*(sqrt (2)m+i) (i is the complex part) Both could be used for primesieving by a described algorithm: http://devalco.de/quadr_Sieb_2x%5E2-1.php http://devalco.de/quadr_Sieb_2x%5E2+1.php Is there a conection between these two prime generators what the new Mersenne conjecture suggest ? Greetings from the primes Bernhard

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