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Test of Divisibility by any Prime

✍ Scribed by CHRISTIE, ROBT. W. D.

Book ID
109417981
Publisher
Nature Publishing Group
Year
1889
Tongue
English
Weight
116 KB
Volume
40
Category
Article
ISSN
0028-0836

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We study sets P of k primes that satisfy the condition gcd(> A&> B, > P)=1 whenever A and B are disjoint non-empty subsets of P. It is known that such sets of primes exist for all positive integers k. It is of interest to know the asymptotic behavior of n k , the smallest natural number that is the