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Search: id:A144326
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| A144326 |
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Prime numbers that cannot be Mersenne prime exponents, by conjecture of A144325. |
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+0
2
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| 67, 191, 197, 211, 277, 331, 379, 397, 401, 541, 617, 631, 677, 727, 743, 751, 821, 937, 947, 971, 991, 1129, 1163, 1171, 1217, 1277, 1289, 1327, 1381, 1409, 1427, 1471, 1549, 1559, 1597, 1601, 1607, 1783, 1801, 1831, 1871, 1901, 2011, 2017, 2081, 2111
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Obviously true for the initial terms!
Conjecture: 191, 1217, 1559 and 1901 are not in fact members of this sequence, noting that they are (4, 19) k-figurate numbers; 19 is a member of A138694. Determining whether a Mersenne prime exponent one greater than a (4, 19) k-figurate number exists is sufficient to determine whether these primes are members.
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CROSSREFS
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Cf. A000040, A000043, A000668, A144313, A144315, A144325, A138694
Sequence in context: A044780 A142544 A142671 this_sequence A119593 A142891 A142049
Adjacent sequences: A144323 A144324 A144325 this_sequence A144327 A144328 A144329
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KEYWORD
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easy,nonn
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AUTHOR
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Reikku Kulon (reikku(AT)gmail.com), Sep 17 2008
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