benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / For positive integers n, let f(n) be the product of the digits of n. Find the largest positive integer m such that ∑_(n=1)^(∞)(f(n))/(m⌊log₁₀n⌋) is an integer. · Discussion

Discussing For positive integers n, let f(n) be the product of the digits of n. Find the largest positive integer m such that ∑_(n=1)^(∞)(f(n))/(m⌊log₁₀n⌋) is an integer. · Omni-MATH

Posts

Chronological order within this page.

Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.