Five consecutive positive odd numbers, none of which can be expressed as a sum of two prime powers

DOI10.1090/S0025-5718-04-01674-6zbMath1137.11300WikidataQ114093884 ScholiaQ114093884MaRDI QIDQ4654037

Yong-Gao Chen

Publication date: 1 March 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

arithmetic progression

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25)

Related Items (8)

On a problem of Romanoff type ⋮ EIGHT CONSECUTIVE POSITIVE ODD NUMBERS NONE OF WHICH CAN BE EXPRESSED AS A SUM OF TWO PRIME POWERS ⋮ On integers of the forms \(k\pm 2^{n}\) and \(k2^{n}\pm 1\) ⋮ On the integers of the form $p^{2}+b^{2}+2^{n}$ and $b_{1}^{2}+b_{2}^{2}+2^{n^{2}}$ ⋮ On the integers of the form \(p+b\) ⋮ Five consecutive positive odd numbers none of which can be expressed as a sum of two prime powers. II ⋮ 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

Cites Work

• Unnamed Item
• On integers of the forms \(k-2^n\) and \(k2^n+1\)
• On integers of the forms \(k^r-2^n\) and \(k^r2^n+1\).
• On the Smallest k Such that All k ⋅2 N + 1 are Composite
• Not Every Number is the Sum or Difference of Two Prime Powers
• On integers of the form 𝑘2ⁿ+1
• On integers of the form $2^k\pm p^{\alpha _1}_1p^{\alpha _2}_2\dotsb p^{\alpha _r}_r$

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