Erdős-Moser Equation
المؤلف:
Guy, R. K
المصدر:
Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, 1994.
الجزء والصفحة:
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24-5-2020
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Erdős-Moser Equation
The Diophantine equation
Erdős conjectured that there is no solution to this equation other than the trivial solution 
, although this remains unproved (Guy 1994, pp. 153-154). Moser (1953) proved that there is no solution for 
, and Butske et al. (1999) extended this to 
, or more specifically, 
.
REFERENCES:
Butske, W.; Jaje, L. M.; and Mayernik, D. R. "The Equation 
, Pseudoperfect Numbers, and Partially Weighted Graphs." Math. Comput. 69, 407-420, 1999.
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, 1994.
Moree, P. "Diophantine Equations of Erdős-Moser Type." Bull. Austral. Math. Soc. 53, 281-292, 1996.
Moser, L. "On the Diophantine Equation 
." Scripta Math. 19, 84-88, 1953.
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