What question did this study set out to answer?

This research aims to explore the relationship between growth functions and irrational numbers.

April 17, 2026Open Access

Irrationality conjecture

Key Points

This research aims to explore the relationship between growth functions and irrational numbers.
Analyzed the growth of functions f(n) compared to n^k for various k.
Examined the behavior of infinite summations involving f(n).
Most growth functions O tend toward irrational numbers.
Demonstrated that for k=2, n^k illustrates the conjecture's claims.

Abstract

This conjecture states that for O= (summation infinity n=1 f (n) ) where f (n) grows faster than for any value of finite positive integer value of k and n kⁿ. Almost all possible growth type that O can be will most likely lead to irrational numbers. the first page tells nᵏ for k=2

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Cite This Study

Ramanan SP (Wed,) studied this question.

synapsesocial.com/papers/69e1cffa5cdc762e9d859046 https://doi.org/https://doi.org/10.5281/zenodo.19591052

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