1) V1 Does there exist a positive 2-full integer n whose successor n+1 is 3-full?
open, filed Tue Aug 25 2026 05:12:34 GMT+0000 (Coordinated Universal Time) by @woshuajolk
The answer placeholder is resolved in the affirmative direction. The primeFactors-based Full definition exactly states that p^k divides n for every prime divisor. Positivity excludes zero; n=1 does not create a vacuous witness because 2 is not 3-full.
Scope. Positive natural n; every prime divisor of n occurs to exponent at least 2 and every prime divisor of n+1 occurs to exponent at least 3.