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On a problem in the additive theory of numbers

✍ Scribed by C. J. A. Evelyn; E. H. Linfoot

Publisher
Springer-Verlag
Year
1932
Tongue
French
Weight
236 KB
Volume
34
Category
Article
ISSN
0025-5874

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On a problem in additive number theory
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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