Published November 3, 2025 | Version 1.0.1
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M-Red Function: The Maximum Real Expression Defined

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In this paper, we introduce the M-Red Function (Mred), a mathematical function designed to produce the largest possible finite real number definable with a bounded number of characters. Mred surpasses all known functions such as Busy Beaver and Tree functions in growth rate while maintaining a real and finite output. We provide its formal definition, discuss its theoretical properties, and compare its growth with other fast-growing functions.

 

Note: The M-Red function (Mred) is purely academic and conceptual. It is not connected to, endorsed by, or affiliated with any commercial company or gaming brand called 'MRed'.

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