MERLIN SCIENCE — Base-60's Prime Factors: Why Ancient Babylon Chose Sexagesimal Math — E8 Intelligence Research

Here's the narration for a MERLIN SCIENCE video, written for working scientists. --- We're looking at a four-thousand-year-old decision that still shapes how we divide the world. The finding is this: the Sumerians and Babylonians chose base-60 for their number system because its prime factors are the first three primes, 2, 3, and 5, which makes it the smallest integer divisible by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30. That's the clean sentence. In the field context, this sits at the intersection of number theory, metrology, and the history of computation. Old Babylonian tablets like Plimpton 322 show sexagesimal arithmetic used for generating Pythagorean triples, with entries like 119, 120, and 169, or 3367, 3456, and 4825. Those aren't random; they're consistent with secant and tangent tables. The mechanism is straightforward: in base-60, reciprocals of numbers whose factors are only 2, 3, and 5 terminate. So 1/3, 1/4, 1/5, 1/6, 1/10, 1/12, 1/15, 1/20, and 1/30 are all exact. N Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23179874
Primary Topic
History and Theory of Mathematics
Type
preprint
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MERLIN SCIENCE — Base-60's Prime Factors: Why Ancient Babylon Chose Sexagesimal Math — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

MERLIN SCIENCE — Base-60's Prime Factors: Why Ancient Babylon Chose Sexagesimal Math — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Here's the narration for a MERLIN SCIENCE video, written for working scientists. --- We're looking at a four-thousand-year-old decision that still shapes how we divide the world. The finding is this: the Sumerians and Babylonians chose base-60 for their number system because its prime factors are the first three primes, 2, 3, and 5, which makes it the smallest integer divisible by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30. That's the clean sentence. In the field context, this sits at the intersection of number theory, metrology, and the history of computation. Old Babylonian tablets like Plimpton 322 show sexagesimal arithmetic used for generating Pythagorean triples, with entries like 119, 120, and 169, or 3367, 3456, and 4825. Those aren't random; they're consistent with secant and tangent tables. The mechanism is straightforward: in base-60, reciprocals of numbers whose factors are only 2, 3, and 5 terminate. So 1/3, 1/4, 1/5, 1/6, 1/10, 1/12, 1/15, 1/20, and 1/30 are all exact. N Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
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