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Search: id:A103329
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| A103329 |
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Numbers n such that (1+i)^n - i is a Gaussian prime. |
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+0
2
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| 3, 4, 5, 8, 10, 16, 26, 29, 34, 73, 113, 122, 157, 178, 241, 353, 457, 997, 1042, 3041, 4562, 6434, 8506
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OFFSET
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1,1
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COMMENT
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Note that A027206 and A057429 treat Gaussian primes of a similar form. The remaining case, (1+i)^n + 1, is a Gaussian prime for n=1,2,3,4 only.
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MATHEMATICA
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Select[Range[10000], PrimeQ[(1+I)^# - I, GaussianIntegers->True]&]
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CROSSREFS
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Cf. A027206 ((1+i)^n + i is a Gaussian prime), A057429 ((1+i)^n - 1 is a Gaussian prime).
Sequence in context: A028288 A118250 A079136 this_sequence A080726 A101210 A047599
Adjacent sequences: A103326 A103327 A103328 this_sequence A103330 A103331 A103332
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Jan 31 2005
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