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Search: id:A027206
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| A027206 |
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(1+i)^n + i is a Gaussian prime. |
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+0
3
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| 1, 2, 3, 4, 6, 7, 8, 11, 14, 16, 19, 38, 47, 62, 79, 151, 163, 167, 214, 239, 254, 283, 367, 379, 1214, 1367, 2558, 4406, 8846, 14699, 49207, 77291, 160423, 172486, 221006, 432182, 1513678, 2515574
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Equivalently, either (1+i)^n + i times its conjugate is an ordinary prime, or n == 2 (mod 4) and 2^(n/2) + (-1)^((n-2)/4) is an ordinary prime.
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LINKS
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Index entries for Gaussian integers and primes
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MATHEMATICA
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For[n=1, True, n++, If[PrimeQ[(1+I)^n+I, GaussianIntegers->True], Print[n]]]
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CROSSREFS
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Cf. A057429.
Adjacent sequences: A027203 A027204 A027205 this_sequence A027207 A027208 A027209
Sequence in context: A050116 A061985 A102826 this_sequence A016027 A032900 A114391
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KEYWORD
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nonn
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AUTHOR
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Ed Pegg Jr. (edp(AT)wolfram.com), Aug 07 2002
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EXTENSIONS
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More terms from Mike Oakes (Mikeoakes2(AT)aol.com), Aug 07 2002
Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Aug 14 2002
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