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单词 Brown Numbers
释义

Brown Numbers

Brown numbers are Pairs of Integers satisfying the condition of Brocard'sProblem, i.e., such that


where is the Factorial and is a Square Number. Only three such Pairs of numbersare known: (5,4), (11,5), (71,7), and Erdös conjectured that these are the only three such Pairs.

See also Brocard's Problem, Factorial, Square Number, Wilson Prime


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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