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Analysis of Algorithms for Moser's Problems on Sums of Consecutive Primes

math.NT · 2025-08-29 · conditional · novelty 5.0

Two existing algorithms that count representations as sums of consecutive primes are analyzed, giving O(x log x) time with sublinear memory, and run to 10^14, producing the first integer with 14 representations and heuristic yes-answers to Moser's four questions.

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  • Analysis of Algorithms for Moser's Problems on Sums of Consecutive Primes math.NT · 2025-08-29 · conditional · none · ref 4

    Two existing algorithms that count representations as sums of consecutive primes are analyzed, giving O(x log x) time with sublinear memory, and run to 10^14, producing the first integer with 14 representations and heuristic yes-answers to Moser's four questions.