On integers of the form 𝑘2ⁿ+1
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Publication:4517471
DOI10.1090/S0002-9939-00-05916-5zbMath1010.11004MaRDI QIDQ4517471
Publication date: 22 November 2000
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Related Items (13)
ON SHIFTED PRIMES AND BALANCED PRIMES ⋮ On integers of the forms \(k\pm 2^{n}\) and \(k2^{n}\pm 1\) ⋮ Nonlinear Sierpiński and Riesel numbers ⋮ On Romanoff's constant ⋮ On the integers of the form $p^{2}+b^{2}+2^{n}$ and $b_{1}^{2}+b_{2}^{2}+2^{n^{2}}$ ⋮ Five consecutive positive odd numbers, none of which can be expressed as a sum of two prime powers ⋮ Five consecutive positive odd numbers none of which can be expressed as a sum of two prime powers. II ⋮ FLAT PRIMES AND THIN PRIMES ⋮ On the density of integers of the form \(2^k + p\) in arithmetic progressions ⋮ ON THE DENSITY OF INTEGERS OF THE FORM (p−1)2−n IN ARITHMETIC PROGRESSIONS ⋮ Unnamed Item ⋮ On integers of the forms \(k-2^n\) and \(k2^n+1\) ⋮ On integers of the forms \(k^r-2^n\) and \(k^r2^n+1\).
Cites Work
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- On the density of odd integers of the form \((p-1)2^{-n}\) and related questions
- Explicit Primality Criteria for h ⋅2 k ± 1
- New Primes of the Form k ⋅2 n + 1
- A Report on Primes of the Form k⋅2 n + 1 and On Factors of Fermat Numbers
- The Problem of Sierpinski Concerning k ⋅2 n + 1
- On the Smallest k Such that All k ⋅2 N + 1 are Composite
- On integers of the form $2^k\pm p^{\alpha _1}_1p^{\alpha _2}_2\dotsb p^{\alpha _r}_r$
- On the fractional parts of the powers of a rational number (II)
- Covering the Set of Integers by Congruence Classes of Distinct Moduli
- Rational approximations to algebraic numbers
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