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Search: id:A042987
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| A042987 |
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Primes congruent to {2, 3, 5, 7} mod 8. |
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+0
6
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| 2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 43, 47, 53, 59, 61, 67, 71, 79, 83, 101, 103, 107, 109, 127, 131, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 197, 199, 211, 223, 227, 229, 239, 251, 263, 269, 271, 277, 283, 293, 307, 311, 317, 331, 347, 349, 359, 367, 373, 379
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Equivalently, primes p not congruent to 1 mod 8.
Achava Nakhash wrote: "In 1981 D. Weisser proved that a prime not congruent to 1 mod 8 and >= 7 is irregular if and only if the rational number Zeta_K(-1) is p-adically integral, that is has a denominator not divisible by p, where K is the maximal real subfield of the cyclotomic field of p'th roots of unity. His proof was very indirect, depending upon a formula for the arithmetic genus of the Hilbert Modular Variety of this field. - Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 21 2009
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LINKS
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Achava Nakhash, Irregular Primes and Dedekind Zeta Functions [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 21 2009]
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CROSSREFS
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Complement in primes of A007519.
Adjacent sequences: A042984 A042985 A042986 this_sequence A042988 A042989 A042990
Sequence in context: A105049 A057447 A095074 this_sequence A097375 A007459 A129944
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 21 2009
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