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Search: id:A079630
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| A079630 |
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Numbers n such that |real(zeta(1/2 + n*I))| exceeds all previous values, where zeta is the Riemann zeta function. |
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+0
2
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| 0, 10, 17, 18, 28, 46, 63, 109, 172, 281, 417, 652, 698, 852, 1269, 1550, 3100, 4478, 6726, 7578, 9654, 9826, 10678, 14304, 30775, 45079, 57552, 74956, 105731, 248917, 289346, 340761, 407722, 440699, 457170, 682764, 795112, 849038, 874546, 1138384
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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If you begin at 1 instead of 0, the sequence begins 1,2,3,4,5,6,7,8,9,10,..., etc.
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LINKS
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Glen Pugh, The Riemann Hypothesis in a Nutshell
Ed Pegg Jr., The Riemann Hypothesis
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EXAMPLE
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|real(zeta(1/2 + 1616584*I))| ~= 44.1381
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MATHEMATICA
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a = -1; Do[b = Abs[ Re[ N[ Zeta[0.5 + n*I]]]]; If[b > a, Print[n]; a = b], {n, 0, 10^6}]
Cf. A002410.
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CROSSREFS
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Sequence in context: A056848 A167331 A157159 this_sequence A003333 A092599 A127853
Adjacent sequences: A079627 A079628 A079629 this_sequence A079631 A079632 A079633
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 30 2003
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