William Gerst
Abstract
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In this paper, we state a conjecture on the prime factorization of numbers of the form $n!+1$, explore its implications, and compare it with empirical evidence and established results based on the $abc$ conjecture.
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In this paper, we state a conjecture on the prime factorization of numbers of the form $n!+1$, explore its implications, and compare it with empirical evidence and established results based on the $abc$ conjecture.
Key concepts: Conjecture, Factorization, Prime (order theory), Prime factor, Combinatorics, Mathematics, abc conjecture, Collatz conjecture