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On the Integral Part of a Linear form with Prime Variables
Published online by Cambridge University Press: 20 November 2018
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The object of this paper is to prove the following:
Theorem. Suppose that λ, μ are real non-zero numbers, not both negative, λ is irrational, and k is a positive integer. Then there exist infinitely many primes p and pairs of primes p1, p2 such that
In particular [λp1 + μp2] represents infinitely many primes.
Here [x] denotes the greatest integer not exceeding x.
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- Copyright © Canadian Mathematical Society 1966
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