ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS
2009 ◽
Vol 79
(3)
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pp. 455-463
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Keyword(s):
AbstractLetP(k) be the largest prime factor of the positive integerk. In this paper, we prove that the seriesis convergent for each constantα<1/2, which gives a more precise form of a result of C. L. Stewart [‘On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers’,Proc. London Math. Soc.35(3) (1977), 425–447].
1991 ◽
Vol 110
(1)
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pp. 1-3
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Keyword(s):
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2018 ◽
Vol 107
(1)
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pp. 133-144
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Keyword(s):
1996 ◽
Vol 119
(2)
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pp. 201-208
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1961 ◽
Vol 5
(1)
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pp. 35-40
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1955 ◽
Vol 7
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pp. 347-357
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1968 ◽
Vol 9
(2)
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pp. 146-151
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1953 ◽
Vol 1
(3)
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pp. 119-120
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1963 ◽
Vol 6
(2)
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pp. 70-74
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1964 ◽
Vol 16
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pp. 94-97
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