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A040017
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Unique period primes (no other prime has same period as 1/p) in order (periods are given in A051627).
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17
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3, 11, 37, 101, 9091, 9901, 333667, 909091, 99990001, 999999000001, 9999999900000001, 909090909090909091, 1111111111111111111, 11111111111111111111111, 900900900900990990990991, 909090909090909090909090909091
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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REFERENCES
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J.-P. Delahaye, Merveilleux nombres premiers ("Amazing primes"), p. 324, Pour la Science Paris 2000.
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LINKS
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Robert G. Wilson v, Table of n, a(n) for n = 1..46
Chris Caldwell, The Prime Glossary, Unique prime
C. K. Caldwell, "Top Twenty" page, Unique
Chris K. Caldwell, Harvey Dubner, Unique-Period Primes, J. Recreational Math., 29:1 (1998) 43--48.
Eric Weisstein's World of Mathematics, Unique Prime
Wikipedia, Unique prime
Index entries for sequences related to decimal expansion of 1/n
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EXAMPLE
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The decimal expansion of 1/101 is 0.00990099..., having a period of 4 and it is the only prime with that period.
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MATHEMATICA
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lst = {}; Do[c = Cyclotomic[n, 10]; q = c/GCD[c, n]; If[PrimeQ[q], AppendTo[lst, q]], {n, 62}]; Prepend[Sort[lst], 3] (* Arkadiusz Wesolowski, May 13 2012 *)
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CROSSREFS
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Cf. A007615 (same numbers ordered by period length).
Cf. A007498, A002371, A048595, A006883, A007732, A051626, A051627.
Sequence in context: A243110 A061075 A005422 * A007615 A065540 A084171
Adjacent sequences: A040014 A040015 A040016 * A040018 A040019 A040020
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KEYWORD
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nonn,base,nice
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AUTHOR
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Jud McCranie
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STATUS
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approved
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