cp's OEIS Frontend

A084160 First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap.

%I A084160 #2 Mar 31 2012 10:28:43
%S A084160 2,13,5,17,73,293,113,1153,197,2557,1321,1553,461,2161,1493,1801,
%T A084160 10993,9533,15661,27817,76001,24593,16741,40709,53453,58789,62297,
%U A084160 33181,256189,110321,112757,344497,39581,138661,269761,448421,78989,50593
%N A084160 First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap.
%C A084160 Real primes 2,5,13,17,29,37,... have a unique representation as sum of two squares. Values larger 2 are the primes p with p = 1 mod 4. This is sequence A002313. If p = x^2 + y^2, the corresponding complex prime is x+y*i
%D A084160 Handbook of First Complex Prime Numbers, Part1+2 Ervand Kogbetliantz and Alice Krikorian, Gordon and Breach, 1971
%e A084160 a(3) = 17 because the next prime in sequence A002313 is 29, the size of the gap is 3*4 = 12.
%Y A084160 Cf. A002313, A084161.
%K A084160 nonn
%O A084160 0,1
%A A084160 _Sven Simon_, May 17 2003