Infinitude conjecture for -hits
Infinitude conjecture for -hits
A -hit is an -hit in the class defined earlier in the paper; in particular, it is a coprime positive-integer triple with satisfying the paper's -hit condition.
Infinitude conjecture for -hits. There are infinitely many -hits.
The paper presents this as a conjectural consequence of the expected infinitude of Wieferich primes. The preceding theorem proves that infinitely many Wieferich primes would imply infinitely many -hits, but the infinitude of Wieferich primes is itself not known.
Sources & referencesView supporting material
Primary source
Olivier Rozier, “Are the Collatz and abc conjectures related?”, arXiv:2306.15284 (2025).
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