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MMacaulay001forgottentheorieshashnodedev.hashnode.devMay 11 · 6 min read

I located the first 30 zeros of Riemann's zeta on the critical line. They all sat exactly where 1859 said they would.

Part 95 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In November 1859, Bernhard Riemann submitted an eight-page memoir to the Berlin Academy. The paper was about...

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MMacaulay001forgottentheorieshashnodedev.hashnode.devMay 11 · 7 min read

I checked Kepler's 1611 claim that F_{n+1}/F_n approaches phi. The match is exact, and the convergence rate hits log(1/phi^2) to six digits.

Part 78 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In a letter written around 1611, Johannes Kepler pointed out something his contemporaries had mostly overloo...

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MMacaulay001forgottentheorieshashnodedev.hashnode.devMay 11 · 6 min read

I counted every twin prime under ten million. Hardy and Littlewood's 1923 guess landed within 0.3%.

Part 73 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. Twin primes are pairs of primes two apart: (3, 5), (5, 7), (11, 13), (17, 19), and on it goes. They get rare...

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SSSaptarshi Sarkarsaptarshisarkar.hashnode.devMar 7 · 17 min read

Key Math Concepts in Data Structures and Algorithms

At the core of data structures and algorithms are fundamental mathematical principles that guide their design and implementation. This article explores key math concepts essential for mastering data s

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MSMuppidi Srinivassrinivastechblog.hashnode.devFeb 16 · 7 min read

Essential Math Algorithms for Competitive Coding

Binary Exponentiation : is a fast method to calculate powers like aⁿ , without multiplying a again and again n times. Instead of O(n) multiplications, it works in O(log n) time. Idea Behind Binary Exponentiation We use two simple observations : If po...

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K/Kofi / Illestpreachablog.illestpreacha.comJan 15 · 1 min read

Genuary2026_Perfect

3DTriplets For the 14th Prompt of Genuary2026: Perfectly Fitted, 3DTriplet is coded in a LiveCodeLab Sketch(With Extra Effects) in sets that works for the “perfect” number that is 6(1 Red Cube, 2 Orange Cylinders and 3 Blue Spheres). “In number theor...

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SGSerg G.xcont.hashnode.devNov 26, 2025 · 31 min read

Billiard Fractals: The Infinite Patterns Hidden in a Rectangle

Complex systems often appear chaotic or incomprehensible, yet closer examination reveals that such complexity can frequently be reduced to a simple underlying mechanism. By systematically removing layers of emergent behavior, one can uncover a fundam...

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KMKaushal Mauryakaushalm.hashnode.devMay 26, 2025 · 4 min read

Count Primes - Unveiling the Sieve of Eratosthenes (Java)

Introduction : Today, we venture into the world of number theory with a classic problem: "Count Primes" (LeetCode #204). At first glance, counting primes might seem like a simple loop, but to do it efficiently for larger numbers, we need a smarter ap...

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SSSergey Shishkinserj-aleks.hashnode.devMay 13, 2025 · 1 min read

Арифметика

В силу тривиальности понимания арифметических операций, нет смысла дополнительно интерпретировать их авторские описания, поэтому в дополнение к предыдущим двум постам просто список всех символов, классифицируемых автором категорией “Арифметика“ со сс...

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Vvissvekanthdrsexpertnumerologistinhyderabad.hashnode.devMay 5, 2025 · 4 min read

Top 10 Signs You Should Consult an Astrologer Today

Astrology and Mental Health: Understanding Emotional Patterns Through Your Birth Chart Mental health is an essential aspect of our well-being, and in recent years, many people have turned to holistic methods to better understand their emotions and be...

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#number-theory

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Trending tags this week

I located the first 30 zeros of Riemann's zeta on the critical line. They all sat exactly where 1859 said they would.

I checked Kepler's 1611 claim that F_{n+1}/F_n approaches phi. The match is exact, and the convergence rate hits log(1/phi^2) to six digits.

I counted every twin prime under ten million. Hardy and Littlewood's 1923 guess landed within 0.3%.

Key Math Concepts in Data Structures and Algorithms

Essential Math Algorithms for Competitive Coding

Genuary2026_Perfect

Billiard Fractals: The Infinite Patterns Hidden in a Rectangle

Count Primes - Unveiling the Sieve of Eratosthenes (Java)

Арифметика

Top 10 Signs You Should Consult an Astrologer Today