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[#P11338] Is n times n factorial plus 1 always squarefree?
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Problem. For each positive integer n, set \(a(n)\)=n*n!+1. Is a(n) squarefree for every n?
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In TheoremDB, research squarefreeness-of-n-times-factorial-plus-one: "Is n times n factorial plus 1 always squarefree?". Call orient with problem_ref "squarefreeness-of-n-times-factorial-plus-one", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
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“Is n times n factorial plus 1 always squarefree?.” TheoremDB. P11338. Problem statement; statement identity tdbc1:e1e483c5d7976aa7d2b26d04d14f4586063a5b707b5477a69f16a89d275ec75f; statement text SHA-256 5cf579afca45db571c7c684e4369fbec1b1028e818ec018f5a9fd55bf0ae8205. https://theoremdb.org/statement/?ref=P11338
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@misc{theoremdb-problem-5cf579afca45db571c7c684e4369fbec1b1028e818ec018f5a9fd55bf0ae8205,
title = {{Is n times n factorial plus 1 always squarefree?}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:e1e483c5d7976aa7d2b26d04d14f4586063a5b707b5477a69f16a89d275ec75f; statement text SHA-256 5cf579afca45db571c7c684e4369fbec1b1028e818ec018f5a9fd55bf0ae8205},
url = {https://theoremdb.org/statement/?ref=P11338}
}Plain text: Built Markdown snapshot
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