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math.NT2025
Analysis of Algorithms for Moser's Problems on Sums of Consecutive Primes
Jonathan P. Sorenson, Eleanor Waiss
In his 1963 paper on the sum of consecutive primes, Moser posed four open questions related to , the number of ways an integer can be written as a sum of consecutive prim…
math.NT2025
Explicit Bounds and Parallel Algorithms for Counting Multiply Gleeful Numbers
Sara Moore, Jonathan P. Sorenson
Let be an integer. A positive integer is -\textit{gleeful} if can be represented as the sum of th powers of consecutive primes. For example, is…