On the Integral Part of a Linear form with Prime Variables
1966 ◽
Vol 18
◽
pp. 621-628
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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 thatIn particular [λp1 + μp2] represents infinitely many primes.Here [x] denotes the greatest integer not exceeding x.
1961 ◽
Vol 5
(1)
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pp. 35-40
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1955 ◽
Vol 7
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pp. 347-357
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1968 ◽
Vol 9
(2)
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pp. 146-151
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1953 ◽
Vol 1
(3)
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pp. 119-120
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1963 ◽
Vol 6
(2)
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pp. 70-74
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1964 ◽
Vol 16
◽
pp. 94-97
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1949 ◽
Vol 1
(1)
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pp. 48-56
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1962 ◽
Vol 14
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pp. 565-567
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Keyword(s):
1981 ◽
Vol 33
(3)
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pp. 606-617
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1969 ◽
Vol 12
(5)
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pp. 545-565
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