Goldbach's Conjecture Math vs Linear Algebra Visualizer

A little curiosity. A world of numbers. Explore Goldbach’s conjecture with your free prime-pair calculator, and take your curiosity further with a new Learn tab. YOUR CALCULATOR STAYS FREE Find one or up to 20 prime pairs, enter numbers up to 35 digits, keep history, save favorites and share results. No ads or app account required. 30 LESSONS, THREE PATHS Learn about primes, divisibility, factorization, modular arithmetic, Miller–Rabin, Euclid, twin primes, RSA and mathematical proof. Each lesson includes explanations, a worked example and a quiz with feedback. Lessons 1–5 are free. A DAILY SPARK Answer a free daily question, build a streak, bookmark lessons and track your progress. Goldbach Plus adds unlimited practice with instant explanations. EXPLORE THE LAB The interactive prime sieve up to 100 is free. Plus adds the Ulam spiral, prime-gap charts, Goldbach pair-count charts, CSV export and a factor explorer. Lab calculations use exact methods within their displayed small ranges. GOLDBACH PLUS Monthly and annual auto-renewing subscriptions unlock all 30 lessons, unlimited practice and the complete Lab. Both plans provide the same access. The existing calculator, history, favorites and sharing remain free. Prices and billing periods are shown before purchase. Payment is charged to your Apple Account. Subscriptions renew unless canceled at least 24 hours before the current period ends. Manage or cancel in App Store account settings. Restore active purchases in the app. PRIVATE BY DESIGN Lessons and math explorations work offline. Calculations and learning progress stay on this device. Progress does not sync between devices. Apple handles purchases. No tracking or advertising SDKs. Mathematical experiments do not prove the conjecture. Large-number factors may be probable primes rather than certified primes. Privacy & support: https://oanarinaldi.com/goldbachprivacy.html Terms: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/

Ever wondered what a matrix is really doing? Whether you're learning it yourself or teaching students who are stuck, this app lets you visualise and manipulate matrix transformations, so you can finally see how and why they work. WHY IT CLICKS Most apps show you the answer. This one shows you why. The columns of a matrix are just where the basis vectors î and ĵ land. Column one is red. Column two is green. Follow those colors from your input, through the transformed vectors, into the step-by-step math. One number, traced all the way to its effect. With Linear Algebra Visualizer you: - Can finally build the visual intuition of linear algebra - Understand the math behind each transformation - Visually see why TRS order matters - Understand the effect of adding multiple matrices and translations - Watch eigenvectors and eigenvalues come alive BUILT FOR - Students surviving their first linear algebra course - Graphics programmers who want intuition, not just formulas - Teachers who need a live demo that lands - Anyone who's stared at a matrix and thought "but why does this work?" - Visual thinkers who've struggled to picture it all in their head Stop memorizing matrices. Start seeing them. Download Linear Algebra Vizualiser: Rotate, Scale, Shear, Reflect, Translate and learn to understand transformations visually. Ever wondered what a matrix is really doing? Whether you're learning it yourself or teaching students who are stuck, this app lets you visualise and manipulate matrix transformations, so you can finally see how and why they work. WHY IT CLICKS Most apps show you the answer. This one shows you why. The columns of a matrix are just where the basis vectors î and ĵ land. Column one is red. Column two is green. Follow those colours from your input, through the transformed vectors, into the step-by-step math. One number, traced all the way to its effect. With Linear Algebra Visualiser you: - Can finally build the visual intuition of linear algebra - Understand the math behind each transformation - Visually see why TRS order matters - Understand the effect of adding multiple matrices and translations - Watch eigenvectors and eigenvalues come alive BUILT FOR - Students surviving their first linear algebra course - Graphics programmers who want intuition, not just formulas - Teachers who need a live demo that lands - Anyone who's stared at a matrix and thought "but why does this work?" - Visual thinkers who've struggled to picture it all in their head Stop memorising matrices. Start seeing them. Download Linear Algebra Visualiser: Rotate, Scale, Shear, Reflect, Translate and learn to understand transformations visually. Terms of Use (EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/