On a Conjecture of Graham Concerning a Sequence of Integers
Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 285-287
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Let 0<a1<...<an be integers and (a, b) denotes the greatest common divisor of a, b. R. L. Graham [1] has conjectured that for some i and j. In a recent paper Weinstein [2] has improved Winterle's result [3] and has proven the following interesting theorem:If A is the sequence a1< ... <an where ak = P, a prime for some k and , then .
Chein, E. Z. On a Conjecture of Graham Concerning a Sequence of Integers. Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 285-287. doi: 10.4153/CMB-1978-050-7
@article{10_4153_CMB_1978_050_7,
author = {Chein, E. Z.},
title = {On a {Conjecture} of {Graham} {Concerning} a {Sequence} of {Integers}},
journal = {Canadian mathematical bulletin},
pages = {285--287},
year = {1978},
volume = {21},
number = {3},
doi = {10.4153/CMB-1978-050-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-050-7/}
}
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