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A113397 What are the values of k in the term Prime(n+1)^2-Prime(n)^2 = a+k*(Prime(n+1)) if "a" is element of {0,1,...,Prime(n+1)-1}. 1

%I #3 Apr 02 2015 07:57:12

%S 1,3,3,6,3,7,3,7,10,3,11,7,3,7,11,11,3,11,7,3,11,7,11,15,7,3,7,3,7,26,

%T 7,11,3,19,3,11,11,7,11,11,3,19,3,7,3,23,23,7,3,7,11,3,19

%N What are the values of k in the term Prime(n+1)^2-Prime(n)^2 = a+k*(Prime(n+1)) if "a" is element of {0,1,...,Prime(n+1)-1}.

%F Prime(n+1)^2-Prime(n)^2 = a+k*(Prime(n+1)) "a" element of {0, 1, ..., Prime(n+1)-1}

%e 3^2-2^2=2+1*3; 5^2-3^2=1+3*5; 7^2-5^2=3+3*7; 11^2-7^2=6+6*11; 13^2-11^2=9+3*13; etc.

%Y Cf. A113396.

%K nonn

%O 1,2

%A _Marian Kraus_, Oct 26 2005

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