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单词 Equinumerous
释义

Equinumerous

Let and be two classes of Positive integers. Let be the number of integers in which are less than orequal to , and let be the number of integers in which are less than or equal to . Then if


and are said to be equinumerous.


The four classes of Primes , , , are equinumerous. Similarly, since and are both ofthe form , and and are both of the form , and are also equinumerous.

See also Bertrand's Postulate, Choquet Theory, Prime Counting Function


References

Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 21-22 and 31-32, 1993.


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