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Note on a Problem in Additive Number Theory

✍ Scribed by Dirac, G. A.

Book ID
120099258
Publisher
Oxford University Press
Year
1951
Tongue
English
Weight
79 KB
Volume
s1-26
Category
Article
ISSN
0024-6107

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In 1954 Lorentz and Erdo s showed that there are very thin sets of positive integers complementary to the set of primes. In particular, there is an A N with (ii) every n n 0 can be written as n=a+ p, a # A, p prime. Erdo s conjectured that the bound (i) could be sharpened to o(ln 2 x) or even O(ln