Brown Numbers
المؤلف:
Guy, R. K.
المصدر:
Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag
الجزء والصفحة:
...
27-12-2020
1004
Brown Numbers
Brown numbers are pairs 
of integers satisfying the condition of Brocard's problem, i.e., such that
where 
is the factorial and 
is a square number. Only three such pairs of numbers are known: (5, 4), (11, 5), (71, 7), and Erdős conjectured that these are the only three such pairs.
REFERENCES:
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 193, 1994.
Pickover, C. A. Keys to Infinity. New York: Wiley, p. 170, 1995.
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