Multiplicative number theory
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Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.
Erdős squarefree problem (AlphaEvolve problem 52). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Factoring N! into N numbers (AlphaEvolve problem 38). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Exponent for bounded gaps between many primes: determine C 88b or improve its bounds; the repository records 0 (lower) and 3.8075 (upper).
Bounded prime gap constant: determine C 88a or improve its bounds; the repository records 2 (lower) and 186 (upper).
Brun's constant: determine C 81 or improve its bounds; the repository records 1.840503 (lower) and 2.288513 (upper).
Elliott-Halberstam level-of-distribution exponent: determine C 66 or improve its bounds; the repository records frac 1 2 (lower) and 1 (upper).
Linnik's constant: determine C 65 or improve its bounds; the repository records 1 (lower) and 5 (upper).
Dirichlet divisor problem exponent: determine C 63 or improve its bounds; the repository records frac 1 4 (lower) and frac 131 416 (upper).
Turan's pure power sum constant: determine C 42 or improve its bounds; the repository records 0.5 (lower) and 0.69368 (0.6906538 ) (upper).
Prime-Generating Polynomial Systems in Five Variables. Moderately interesting problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.
These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.
Mathematical Sciences Publishers
Algebra, number theory and their connections
European Mathematical Society / EMS Press
Mathematical surveys
2019 · 3 questions extracted
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