Sun's quadratic practical-values conjecture
Sun's quadratic practical-values conjecture
Let be positive integers with and . A practical number is a positive integer each of whose integers from through it can be written as a \sum of distinct divisors. Sun's quadratic practical-values conjecture. There are infinitely many such that is practical. Moreover, when , there is an integer satisfying such that is practical. The conjecture is motivated by computational evidence, and the source gives no resolution.
Sources & referencesView supporting material
Primary source
Li-Yuan Wang and Zhi-Wei Sun, “On practical numbers of some special forms”, arXiv:1809.01532 (2019).
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