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 A084161 First occurrence maximum prime gaps in sequence A002313 (Real primes with corresponding complex primes). a(n) is the starting prime of the first occurrence maximum prime gap. The length of the gap can be found in A084162. 2
 2, 5, 17, 73, 113, 197, 461, 1493, 1801, 9533, 15661, 16741, 33181, 39581, 50593, 180797, 183089, 1561829, 1637813, 2243909, 4468889, 4874717, 7856441, 10087201, 12021029, 12213913, 18226661, 148363637, 292182097, 320262253, 468213937 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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 REFERENCES Handbook of First Complex Prime Numbers, Part1+2 Ervand Kogbetliantz and Alice Krikorian, Gordon and Breach, 1971 LINKS EXAMPLE a(4) = 73: There are no primes p = 1 mod 4 between 73 and 89, this gap is the largest up to 89, the length is 16. CROSSREFS Cf. A002313, A084160, A084162. Sequence in context: A104859 A108289 A007779 * A102038 A002135 A217944 Adjacent sequences:  A084158 A084159 A084160 * A084162 A084163 A084164 KEYWORD nonn AUTHOR Sven Simon, May 17 2003 STATUS approved

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