Intellectually Curious
Intellectually Curious is a podcast by Mike Breault featuring over 1,200 AI-powered explorations across science, mathematics, philosophy, and personal growth. Each short-form episode is generated, refined, and published with the help of large language models—turning curiosity into an ongoing audio encyclopedia. Designed for anyone who loves learning, it offers quick dives into everything from combinatorics and cryptography to systems thinking and psychology.
Inspiration for this podcast:
“Muad'Dib learned rapidly because his first training was in how to learn. And the first lesson of all was the basic trust that he could learn. It's shocking to find how many people do not believe they can learn, and how many more believe learning to be difficult. Muad'Dib knew that every experience carries its lesson.”
― Frank Herbert, Dune
Note: These podcasts were made with NotebookLM. AI can make mistakes. Please double-check any critical information.
- Update frequency
- every day
- Average duration
- 12 minutes
- Episodes
- 1391
- Years Active
- 2024 - 2025
OEIS A000233: Generalized class numbers
A focused tour of generalized class numbers (ray class groups) in algebraic number theory. We explain why the ordinary class number is insufficient when ramification enters, define the modulus and ra…
00:08:41 |
Mon 26 May 2025
The Williamson Blueprint: Technique, Mindset, and Longevity
A focused exploration of Kane Williamson's sustained excellence across Tests, ODIs, and T20s. We synthesize coaching and analytical insights from legends like Ricky Ponting, Sachin Tendulkar, and Ste…
00:12:56 |
Mon 26 May 2025
Efficient Coding: How the Brain Turns Sensory Floods into Focused Signals
Today we unpack the efficient coding hypothesis—the brain’s data compression strategy for sensing the world. We trace its origins with Horace Barlow, see how vision and hearing are tuned to the stati…
00:17:18 |
Mon 26 May 2025
Soaring Algorithms: The Black-Winged Kite and Its Smarter Variants
Science Corner on the Deep Dive explores how nature inspires optimization. We trace the Black-Winged Kite Algorithm (BKA) from its early limits to smarter successors—OCBKA, BKAM, and RBKA. Learn how …
00:11:25 |
Mon 26 May 2025
OEIS A000232: Gilbert Triangle and the Gilbert Conjecture
In this episode we explore OEIS A000232, the sequence that encodes how far you must search into each row of the Gilbert Triangle (built from primes) to find the first entry bigger than 2. We explain …
00:09:00 |
Sat 24 May 2025
OEIS A000230: Smallest Primes for Prime Gaps
We unpack OEIS A000230—the first prime that starts a prime gap of a given size. The episode traces how this sequence marks the very beginnings of new gaps as we move along the primes, notes why small…
00:07:06 |
Sat 24 May 2025
NLWeb: Giving Websites a Voice in the Agentic Web
A deep dive into NLWeb, Microsoft's open-source approach to turning static sites into conversational AI backends. We explore how it reuses schema.org data, RSS/JSON feeds, vector indexes, and optiona…
00:19:39 |
Sat 24 May 2025
OEIS A000231: Number of inequivalent Boolean functions under input complementation and output negation
We explore A000231, the count of inequivalent Boolean functions of n variables under the complementing group—the symmetries obtained by flipping any subset of inputs and possibly flipping the overall…
00:07:29 |
Sat 24 May 2025
OEIS A000229: The smallest moduli where 2 is the least quadratic non-residue
In this episode we dive into A000229, the sequence of the smallest moduli n for which 2 is the least quadratic non-residue. We start with quick reminders of quadratic residues and non-residues, the L…
00:09:51 |
Wed 21 May 2025
OEIS A000228: Polyhexes and the boundary algebra
We explore how hexagonal polyominoes (polyhexes) are counted by A000228 and how their boundaries can be encoded as words in a free group. From coloring arguments to Conway–Lagarias’s group-theoretic …
00:11:01 |
Wed 21 May 2025
OEIS A000227: Nearest integer to e and the integer maximizer
Explore A000227, the sequence of integers closest to e, which begins 1, 3, 7, 20, 55, 148 and is indexed from 0. We trace the surprising link to a related discrete maximization problem for the functi…
00:07:32 |
Sun 18 May 2025
OEIS A000226: Triangles, Trees, and the Web of Unicyclic Graphs
We explore A000226, the count of unlabeled connected n-node graphs with exactly one 3-cycle (a triangle). We reveal its surprising equivalences with rooted trees on n+1 nodes where the root has degre…
00:08:21 |
Sat 17 May 2025
OEIS A000225: One-less-than-a-power-of-two (the all-ones binary numbers)
In this episode we explore A000225, the sequence 2^n − 1. Its binary form is n consecutive 1s, and it appears in many corners of combinatorics and CS. We’ll see how A000225 counts nonempty subsets of…
00:11:52 |
Fri 16 May 2025
Zipf's Law: The 1/n Rule Behind Words, Cities, and More
A clear, jargon-free dive into Zipf's Law: what the 1/n ranking rule is, where it shows up—from word frequencies to city sizes and beyond—how we test it, and why this simple pattern pops up across so…
00:18:06 |
Thu 15 May 2025
SPHEREx: All-Sky Infrared Spectroscopy
Join us for a deep dive into NASA’s SPHEREx, the all-sky near-infrared spectrograph. See how 96 color bands across 0.75–5 μm map hundreds of millions of galaxies, probe the epoch of reionization and …
00:10:25 |
Thu 15 May 2025
AlphaVault: Evolutionary AI for Algorithms
A Science Corner deep dive into AlphaVault, Google's Gemini-based coding agent that discovers and optimizes algorithms through an evolutionary loop. We explore how broad idea generation meets rigorou…
00:10:59 |
Thu 15 May 2025
Quadratic Residues Explained
Learn about Quadratic Residues Explained
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:24:48 |
Thu 15 May 2025
Inside a Large Language Model Claude 35 Haiku
Learn about Inside a Large Language Model Claude 35 Haiku
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersil…
00:18:00 |
Thu 15 May 2025
PROMPTBREEDER
Learn about PROMPTBREEDER
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:12:15 |
Thu 15 May 2025
Two Kingdoms, One Name: The Burgundians' Journey
A deep dive tracing the Burgundians from early roots near the Vistula through two Rhine kingdoms, their fall, relocation to Sipadia, the rise of a second realm with Vienna as capital, and their endur…
00:17:41 |
Thu 15 May 2025
Disclaimer: The podcast and artwork embedded on this page are the property of Mike Breault. This content is not affiliated with or endorsed by eachpod.com.