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A084161
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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.
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2
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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
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OFFSET
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0,1
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COMMENTS
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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
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REFERENCES
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Handbook of First Complex Prime Numbers, Part1+2 Ervand Kogbetliantz and Alice Krikorian, Gordon and Breach, 1971
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LINKS
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Table of n, a(n) for n=0..30.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A002313, A084160, A084162.
Sequence in context: A104859 A108289 A007779 * A102038 A002135 A217944
Adjacent sequences: A084158 A084159 A084160 * A084162 A084163 A084164
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KEYWORD
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nonn
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AUTHOR
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Sven Simon, May 17 2003
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STATUS
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approved
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