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A066413 Norms of Eisenstein primes mentioned in A066408. +0
2
7, 271, 2269, 176419, 129159847, 1162320517, 49269609804781974450852068861184694669, 589881151426658740854227725580736348850640632297373414091790995505756623268837, 12145129806852984423355341656871496425662252062718286090319252122777281179254085\ 9581853676161 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

REFERENCES

Mike Oakes, email dated Dec 24 2001 to primenumbers(AT)yahoogroups.com

EXAMPLE

For n = 7, (1-w)^7 - 1 has norm 2269, a prime.

CROSSREFS

Cf. A066408.

Sequence in context: A015089 A069449 A140031 this_sequence A037067 A065581 A062646

Adjacent sequences: A066410 A066411 A066412 this_sequence A066414 A066415 A066416

KEYWORD

nonn,nice

AUTHOR

Mike Oakes (mikeoakes2(AT)aol.com), Dec 24 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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