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A073326 Smallest x such that p(x) == n mod (x-PrimePi(x)-1). +0
3
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)
OFFSET

1,1

COMMENT

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

FORMULA

a(n)=Min{x; Mod[A000040(x), x-A000720(x)-1]=n}

EXAMPLE

Mod[p(10),10-Pi(10)-1]=Mod[29,10-4-1]=Mod[29,5]=4, and a(4)=10.

MATHEMATICA

f[n_] := (k = 4; While[ Mod[ Prime[k], k - PrimePi[k] - 1] != n, k++ ]; k); Table[ f[n], {n, 1, 29}]

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 30 2002

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 31 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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