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Search: id:A073326
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| A073326 |
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Smallest x such that p(x) == n mod (x-PrimePi(x)-1). |
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+0 3
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| 6, 67, 9, 10, 13, 96, 15, 16, 74, 73, 32, 85, 31, 4086, 228, 611, 28, 30, 44, 616, 263, 617, 43, 4090, 47, 633, 241, 631, 49
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(30) > 40000000, continuing 48, 102, 123, 622, 62, 120, 65, 103, 112, 108, 64, 4094, 63, 127, 271, 109, 128, 129, 70, 132, 133, 137, 131, 4060, 644, 4130, 1608, 642, 138
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FORMULA
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a(n)=Min{x; Mod[A000040(x), x-A000720(x)-1]=n}
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EXAMPLE
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Mod[p(10),10-Pi(10)-1]=Mod[29,10-4-1]=Mod[29,5]=4, and a(4)=10.
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MATHEMATICA
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f[n_] := (k = 4; While[ Mod[ Prime[k], k - PrimePi[k] - 1] != n, k++ ]; k); Table[ f[n], {n, 1, 29}]
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CROSSREFS
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Cf. A000040, A000720, A073324, A073326.
Sequence in context: A063039 A082781 A099147 this_sequence A024203 A073562 A121958
Adjacent sequences: A073323 A073324 A073325 this_sequence A073327 A073328 A073329
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jul 30 2002
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 31 2002
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