Irrationality Conjecture

Ramanan SP

doi:10.5281/zenodo.19432895

April 6, 2026Open Access

Irrationality Conjecture

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Key Points

This conjecture aims to explore the relationship between growth rates of sequences and the occurrence of irrational numbers.
Defined a function f(n) that grows faster than any finite integer exponent k for n.
Analyzed the summation of f(n) from n=1 to infinity as a basis for study.
Examined the types of growth that O can represent and their implications.
Conjecture indicates that most growth types of O lead to irrational numbers.
Identifies that faster-growing sequences significantly contribute to this probability.
Suggests that irrational numbers are prevalent within particular number sequences.

Implication

Mathematical conjecture examines growth rates in number sequences, suggesting consequences for irrational numbers.

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. k^n almost all possible growth type that O can be will most likely lead to irrational numbers.

Discussion

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Cite This Study

Ramanan SP (2026) studied this question.

synapsesocial.com/papers/69d49f8ab33cc4c35a227ecf https://doi.org/10.5281/zenodo.19432895

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Irrationality Conjecture

Key Points

Implication

Abstract

Discussion

Cite This Study

Irrationality Conjecture

Key Points

Implication

Abstract

Discussion

Cite This Study

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