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A062572
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Numbers n such that k^n - (k-1)^n is prime, where k is 6.
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104
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2, 5, 11, 13, 23, 61, 83, 421, 1039, 1511, 31237, 60413, 113177, 135647
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The 809- and 1176-digit numbers associated with the terms 1039 and 1511 have been certified prime with Primo. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Nov 15 2002
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MATHEMATICA
| lst={}; k=6; Do[If[PrimeQ[k^n-(k-1)^n], Print[n]; AppendTo[lst, n]], {n, 10^4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 26 2008]
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PROG
| (PARI) forprime(p=2, 1e4, if(ispseudoprime(6^n-5^n), print1(p", "))) \\ Charles R Greathouse IV, Jun 10 2011
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CROSSREFS
| Cf. A000043, A057468, A059801, A059802, A062573-A062666.
Sequence in context: A086081 A113305 A095078 * A106283 A020629 A097055
Adjacent sequences: A062569 A062570 A062571 * A062573 A062574 A062575
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KEYWORD
| nonn,hard
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AUTHOR
| Mike Oakes (Mikeoakes2(AT)aol.com), May 18 2001, May 19 2001
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EXTENSIONS
| Edited by T. D. Noe (noe(AT)sspectra.com), Oct 30 2008
Two more terms (31237 and 60413) found by Predrag Minovic in 2004 corresponding to probable primes with 24308 and 47011 digits. Jean-Louis Charton (chartonjl(AT)wanadoo.fr), Oct 06 2010
Two more terms (113177 and 135647) found by Jean-Louis Charton in 2009 corresponding to probable primes with 88069 and 105554 digits. Jean-Louis Charton (chartonjl(AT)wanadoo.fr), Oct 13 2010
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