maths.free › Frontiers

Frontiers

Nobody has solved these. Each page states the problem precisely, translates it into plain language, lists the exact prerequisites from the stages above, breaks it into the parts mathematicians actually work on, and says what is known. The point is not to solve them today; it is to be able to read them.

Lessons

Advanced The Riemann Hypothesis Every non-trivial zero of the zeta function has real part ½ — and with it, the primes obey their expected rhythm. Advanced Navier–Stokes existence and smoothness Do the equations of fluid flow always have smooth solutions, or can a fluid blow up in finite time? Advanced P versus NP If a solution can be checked quickly, can it always be found quickly? Advanced Goldbach's conjecture Every even number greater than 2 is the sum of two primes. Core The Collatz conjecture Halve it if even, triple-and-add-one if odd: does every start reach 1? Advanced The twin prime conjecture Are there infinitely many primes two apart — 3 and 5, 11 and 13, 101 and 103?

Other branches

＋ Arithmetic𝑥 Algebra△ Geometry∿ Trigonometryƒ Precalculus∫ Calculus⊞ Linear Algebraσ Statistics & Probability⊢ Discrete Math & Logicℕ Number Theoryẏ Differential Equationsε Analysis