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A139812 Primes Prime[n] such that Prime[n]^2 - Prime[n + 2]*Prime[n - 2] <> 0. +0
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5, 7, 11, 13, 17, 23, 29, 31, 37, 41, 53, 59, 67, 71, 97, 101, 103, 107, 127, 131, 149, 151, 163, 173, 179, 191, 193, 223, 227, 251, 257, 263, 269, 277, 307, 311, 331, 337, 347, 349, 367, 373, 379, 397, 409, 419, 421, 431, 433, 457, 461, 479, 487, 491, 499, 541 (list; graph; listen)
OFFSET

1,1

COMMENT

These primes are at the next level higher beyond good and bad primes. Bad primes come from modular forms and L-Series theory: http://en.wikipedia.org/wiki/Arithmetic_of_elliptic_curves:

REFERENCES

Wikipedia, http://en.wikipedia.org/wiki/Arithmetic_of_elliptic_curves

MATHEMATICA

Flatten[Table[If[Prime[n]^2 - Prime[n + 2]*Prime[n - 2] > 0, Prime[n], {}], {n, 3, 100}]]

CROSSREFS

Cf. A130903, A028388.

Sequence in context: A120222 A054794 A104860 this_sequence A040146 A015914 A023201

Adjacent sequences: A139809 A139810 A139811 this_sequence A139813 A139814 A139815

KEYWORD

nonn

AUTHOR

Roger Bagula and Gary W. Adamsom (rlbagulatftn(AT)yahoo.com), May 23 2008

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), May 23 2008

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


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