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Journals / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 2

On the Value Set of n! Modulo a Prime

Florian LUCA
William D. BANKS
Igor E. SHPARLINSKI
Henning STICHTENOTH
Pages
169–174
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.
📊
Key Findings & Data:We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.
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Conclusion & Impact:We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2005) · 169-174. Full text: pdf Other articles published in the same issue: Turk. J. Math.

Abstract

We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.

Özet

We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.

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Cite This Article

LUCA, F., BANKS, W. D., SHPARLINSKI, I. E., STICHTENOTH, H. (2022). On the Value Set of n! Modulo a Prime. Turkish Journal of Mathematics, Cilt: 29 - Sayı: 2, 169–174. https://ajindex.com/articles/608731

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References (4)

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