Finiteness conjecture for strongly pseudoperfect μ-Sondow numbers
Finiteness conjecture for strongly pseudoperfect μ-Sondow numbers
For an integer , a -Sondow number is a positive integer such that
where the sum is over the prime divisors of . A strongly pseudoperfect number is understood in the sense defined in the paper. Finiteness conjecture for strongly pseudoperfect -Sondow numbers. For every integer , only finitely many -Sondow numbers are strongly pseudoperfect. The source presents this as a conjecture in the context of the rarity of fixed- -Sondow numbers and gives no resolution status.
Sources & referencesView supporting material
Primary source
Tim McCormack and Joshua Zelinsky, “Weighted Versions of the Arithmetic-Mean-Geometric Mean Inequality and Zaremba's Function”, arXiv:2312.11661 (2024).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.