On the largest prime factors of n and n+1.
Carl Pomerance, Paul Erdös (1978)
Aequationes mathematicae
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Carl Pomerance, Paul Erdös (1978)
Aequationes mathematicae
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P. Erdös (1968)
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S.K. Stein (1987)
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I.C. Chakravartty (1970)
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M.J. Frank (1975)
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Shanta Laishram, T. N. Shorey (2004)
Acta Arithmetica
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Motoshi Hongan (1996)
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S. D. Adhikari, G. Coppola, Anirban Mukhopadhyay (2002)
Acta Arithmetica
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H.-H. Kairies, M.E. Muldoon (1982)
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H.-H. Kairies, M.E. Muldoon (1982)
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B. Schweizer (1975)
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Shi-Chao Chen, Yong-Gao Chen (2004)
Colloquium Mathematicae
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We prove an Ω result on the average of the sum of the divisors of n which are relatively coprime to any given integer a. This generalizes the earlier result for a prime proved by Adhikari, Coppola and Mukhopadhyay.