|
Search: id:A027206
|
|
|
| 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
|
|
|
Search completed in 0.002 seconds
|
