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A146961 Numbers n = p*q*r, with odd primes p < q < r, such that Sister Beiter's cyclotomic coefficient conjecture is false. 0
20213, 125609, 136477, 141317, 150271, 198493, 199177, 212971, 239039, 273229, 282367, 291343, 311201, 332777, 373901, 393313, 398563, 412357, 442091, 449527, 449647, 450131, 456569, 461263, 469249, 470741, 475057, 522461, 524837, 532363 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

In 1968, Sister Beiter conjectured that for n = p*q*r, with odd primes p < q < r, the maximum coefficient (in absolute value) of the cyclotomic polynomial Phi(n,x) is <= (p+1)/2. Up to 10^6, all counterexamples have p>7. Gallot and Moree prove the conjecture is false for p>7.

LINKS

Table of n, a(n) for n=1..30.

Yves Gallot and Pieter Moree, Counter-examples to Sister Beiter's cyclotomic coefficient conjecture

CROSSREFS

Sequence in context: A295014 A133527 A295011 * A295013 A295000 A250451

Adjacent sequences:  A146958 A146959 A146960 * A146962 A146963 A146964

KEYWORD

nonn

AUTHOR

T. D. Noe, Nov 03 2008

STATUS

approved

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Last modified May 22 05:03 EDT 2019. Contains 323473 sequences. (Running on oeis4.)