(2^n+1)/3

kohmoto zbi74583 at boat.zero.ad.jp
Fri May 20 08:50:40 CEST 2005


    Hello, Seqfans
    Once I realized that if M_n is a Mersenne prime then (M_n+2)/3 is also 
prime. 2<n
    And I knew that it is called "Bateman and Shefridge and Wagstaff's 
conjecture ".
    Does anyone know the exact description of it?

    %I A000001
    %S A000001 3, 11, 43, 2731, 43691
    %N A000001 (M_n+2)/3. Where M_n is Mersenne prime 2^n-1.
    %C A000001 If "Bateman and Shefridge and Wagstaff's conjecture " is 
true, then all terms of the sequence becomes primes.
     %O A000001     3,1
    %Y A000001    A000668
    %K A000001    nonn
    %A A000001    Yasutoshi Kohmoto (zbi74583 at boat.zero.ad.jp)


 
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