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A066413
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Norms of Eisenstein primes mentioned in A066408.
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1
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7, 271, 2269, 176419, 129159847, 1162320517, 49269609804781974450852068861184694669, 589881151426658740854227725580736348850640632297373414091790995505756623268837, 121451298068529844233553416568714964256622520627182860903192521227772811792540859581853676161
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Analogues of Mersenne primes in Eisenstein integers.
The norm of a + b*w is (a+b*w)*(a+b*w^2) = a^2 - a*b + b^2.
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REFERENCES
| Mike Oakes, email dated Dec 24 2001 to primenumbers(AT)yahoogroups.com
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EXAMPLE
| For n = 7, (1-w)^7 - 1 has norm 2269, a prime.
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CROSSREFS
| Cf. A066408.
Sequence in context: A179565 A069449 A140031 * A037067 A065581 A062646
Adjacent sequences: A066410 A066411 A066412 * A066414 A066415 A066416
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KEYWORD
| nonn,nice
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AUTHOR
| Mike Oakes (mikeoakes2(AT)aol.com), Dec 24 2001
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