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Search: id:A123239
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| A123239 |
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"Mangammal primes": prime numbers which are impossible factors of 3^n-2, i.e. they do not divide 3^n-2 for any value of n. |
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+0
8
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| 2, 3, 11, 13, 37, 41, 59, 61, 67, 73, 83, 103, 107, 109, 131, 151, 157, 179, 181, 193, 227, 229, 251, 271, 277, 307, 313, 347, 349, 367, 373, 397, 419, 421, 433, 443, 467, 491, 523, 541, 547, 563, 577, 587, 613, 619, 659, 661, 673, 683, 709, 733, 757, 761
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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That the sequence is infinite can be proved using a theorem in "Euler's Generalisation Of Fermat's Theorem - A Further Generalisation".
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REFERENCES
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A. K. Devaraj, "Euler's Generalization of Fermat's Theorem-A Further Generalization", in ISSN #1550-3747, Proceedings of Hawaii Intl Conference on Statistics, Mathematics & Related Fields, 2004.
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MATHEMATICA
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Select[Prime[Range[135]], !MemberQ[Table[PowerMod[3, k, # ], {k, #-1}], 2]&] - Farideh Firoozbakht (mymontain(AT)yahoo.com), Oct 11 2006
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CROSSREFS
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Sequence in context: A157884 A085306 A161322 this_sequence A048891 A068820 A129670
Adjacent sequences: A123236 A123237 A123238 this_sequence A123240 A123241 A123242
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KEYWORD
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nonn
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AUTHOR
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A. K. Devaraj (dkandadai(AT)yahoo.com), Oct 07 2006
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EXTENSIONS
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More terms from Don Reble (djr(AT)nk.ca), Oct 07 2006
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