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Search: id:A159298
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| A159298 |
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Numbers n such that n*10^n*(10^n - 1)/9 + 1 is prime. |
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+0 1
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OFFSET
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1,2
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COMMENT
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There are no more terms up to n = 4000 (cf. link).
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REFERENCES
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J. Earls, Mathematical Bliss, Pleroma Publications, 2009, page 55. ASIN: B002ACVZ6O [From Jason Earls (zevi_35711(AT)yahoo.com), Nov 22 2009]
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LINKS
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Jason Earls, Biography: Enrico Bombieri, Fields Medal winner
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EXAMPLE
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For n = 5, n*10^n*(10^n - 1)/9 + 1 is the prime 5555500001. Hence 5 is in the sequence.
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PROGRAM
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(MAGMA) [ x[1]: x in [ < n, Integers()!(n*10^n*(10^n - 1)/9 + 1) >: n in [1..186] ] | IsPrime(x[2]) ];
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CROSSREFS
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Cf. A002275 (repunits: (10^n - 1)/9).
Sequence in context: A030698 A080284 A071861 this_sequence A128523 A068311 A109984
Adjacent sequences: A159295 A159296 A159297 this_sequence A159299 A159300 A159301
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KEYWORD
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more,nonn,new
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 09 2009
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EXTENSIONS
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Edited by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 11 2009
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