𝔖 Bobbio Scriptorium
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A note on the power of integer division

✍ Scribed by Jozef Vyskoč


Book ID
113162575
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
122 KB
Volume
17
Category
Article
ISSN
0020-0190

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Integers divisible by sums of powers of
✍ Jean-Marie De Koninck; Florian Luca 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 115 KB

For each positive integer j , let β j (n) := p|n p j . Given a fixed positive integer k, we show that there are infinitely many positive integers n having at least two distinct prime factors and such that β j (n) | n for each j ∈ {1, 2, . . . , k}.