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A problem in additive number theory

1938
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Transactions of the American Mathematical Society
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Introduction. Some time ago the author was asked by Professor D. N. Lehmer if there was anything known about the representation of an integer A in the form h -¿ In, i-X where all the prime factors of each A,-are of a given form. A search of the literature seemed to indicate that various theorems had been conjectured but none actually proved.f For example, L. Euler stated without proof that every integer of the form 47+2 is a sum of two primes each of the form 47 + 1. Even the weaker statement

doi:10.1090/s0002-9947-1938-1501944-7
fatcat:ly2zjxtr6bgdtmrcto45s25n4y