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A027206 (1+i)^n + i is a Gaussian prime. +0
3
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)
OFFSET

1,2

COMMENT

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.

LINKS

Index entries for Gaussian integers and primes

MATHEMATICA

For[n=1, True, n++, If[PrimeQ[(1+I)^n+I, GaussianIntegers->True], Print[n]]]

CROSSREFS

Cf. A057429.

Sequence in context: A061985 A102826 A163866 this_sequence A016027 A032900 A166935

Adjacent sequences: A027203 A027204 A027205 this_sequence A027207 A027208 A027209

KEYWORD

nonn

AUTHOR

Ed Pegg Jr. (edp(AT)wolfram.com), Aug 07 2002

EXTENSIONS

More terms from Mike Oakes (Mikeoakes2(AT)aol.com), Aug 07 2002

Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Aug 14 2002

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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