Claude ai plsq algorithm explanation
PSLQ's core use: given a set of real numbers (as high-precision decimals), it searches for integers that combine them into an exact zero — revealing a hidden algebraic relationship. Its main applications: **1. Discovering closed-form formulas** Compute some constant (an integral, series, or physical quantity) to hundreds of digits, then run PSLQ against it plus a basket of "suspect" constants (π, log 2, ζ(3), etc). If PSLQ finds a relation, you've likely found a formula — as with the BBP formula for π, which let people compute individual hexadecimal digits of π without computing the ones before it. **2. Proving irrationality/independence (via negative results)** Run PSLQ with very high precision and large coefficient bounds and find *nothing*. That's evidence (not proof) that no simple relation exists — this is exactly the ζ(5) situation: exhaustive searches keep coming up empty, reinforcing that it's likely unrelated to π, ζ(3), etc. **3. Physics — simplifyin...