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A346289
Decimal expansion of the length of first, and largest, gap between nontrivial zeta zeros.
0
6, 8, 8, 7, 3, 1, 4, 4, 9, 7, 0, 3, 6, 8, 6, 1, 2, 0, 2, 1, 7, 1, 2, 2, 7, 6, 1, 0, 3, 3, 4, 4, 3, 2, 5, 0, 6, 5, 5, 0, 0, 8, 3, 4, 0, 9, 2, 0, 3, 5, 3, 8, 5, 7, 8, 9, 4, 3, 9, 5, 2, 9, 4, 3, 4, 3, 7, 6, 3, 5, 1, 5, 6, 2, 5, 9, 6, 3, 4, 0, 3, 4, 7, 6, 4, 6, 4
OFFSET
1,1
COMMENTS
Simonič shows that this gap is in fact larger than all other gaps between zeros of the Riemann zeta function, see the proof of Lemma 3.
FORMULA
Equals A065434 - A058303.
EXAMPLE
6.8873144970368612021712276103344325065500834092035385789439529434376351562596....
MATHEMATICA
Im[ZetaZero[2] - ZetaZero[1]] // RealDigits[#, 10, 88]& // First (* Peter Luschny, Jul 16 2021 *)
PROG
(PARI) call((x, y)->y-x, lfunzeros(1, 22))
CROSSREFS
Sequence in context: A100221 A157683 A300897 * A049110 A136050 A281112
KEYWORD
nonn,cons
AUTHOR
STATUS
approved