Drag rhythmic values into up to 8 beat blocks per line to build a drum groove, or click a tile then click a block to place it — handy on a trackpad.

🎵 Number Theory Lesson 15: Wilson's Theorem — Find (p-1)! mod p for a Prime p mess around all you want, nothing here saves
159 BPM
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Number Theory, Lesson 15: Wilson's Theorem

Math skill: Find (p-1)! mod p for a Prime p

How the beat teaches it: Every slot gives a prime p — Wilson's theorem guarantees (p-1)! ≡ p-1 (mod p) for every prime, no exceptions. Build that many notes anywhere in the kit.

This is lesson 15 of 24 in RockBlocks Math, Number Theory, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, Multiplicative Order,” covered find the Smallest k Where aᵏ ≡ 1 (mod n). Next is Lesson 16, The Prime Counting Function.”

Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.