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Sum of reciprocals of the largest prime factor of an integer

✍ Scribed by Aleksandar Ivić


Book ID
112499262
Publisher
Springer
Year
1981
Tongue
English
Weight
193 KB
Volume
36
Category
Article
ISSN
0003-889X

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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}.