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Search: id:A038805
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| A038805 |
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Difference between last prime < 10^n and 10^n is a record high. |
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+0
2
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| 1, 4, 9, 21, 24, 34, 56, 66, 92, 100, 112, 117, 135, 180, 260, 349, 387, 393, 411, 574, 617, 787, 1209
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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For a(19)=411, the difference is 4433 and no other n <= 540 exceeds that difference.
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MATHEMATICA
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PrevPrim[n_] := Block[{k = n - 1}, While[ !PrimeQ[k], k-- ]; k]; d = 0; k = 1; Do[ While[f = 10^k - PrevPrim[10^k]; d >= f, k++ ]; d = f; Print[k], {n, 1, 50}]
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CROSSREFS
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Cf. A033874.
Sequence in context: A108870 A111587 A130045 this_sequence A120535 A033944 A038415
Adjacent sequences: A038802 A038803 A038804 this_sequence A038806 A038807 A038808
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KEYWORD
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base,nonn
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AUTHOR
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Jeff Burch (gburch(AT)erols.com)
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 18 2002
a(23) from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 10 2007
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