Lemma
MediumDivisibility
AQuA-RAT train #82203 · Number Theory · Divisibility

For any integer k > 1, the term “length of an integer”…

For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 940, what is the maximum possible sum of the length of x and the length of y?

~8 minAnswer checked instantly

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #82203

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your answer

Checked against the answer in AQuA-RAT.