Goldbach's Conjecture Math vs Statistics

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/

StatRise helps students learn statistics and probability without ads, accounts, or internet-dependent tools. Use it as a statistics calculator, study guide, AP Statistics review app, intro stats companion, or quick homework helper when you need to understand the work behind the answer. LEARN STATISTICS STEP BY STEP Work through 54 lessons across 6 core modules: - Descriptive statistics and data visualization - Probability rules, conditional probability, and Bayes theorem - Normal, binomial, and Poisson distributions - Sampling distributions and the Central Limit Theorem - Confidence intervals and hypothesis testing - Regression, correlation, residuals, and R-squared Each lesson is built for students who want clear definitions, formulas, examples, and practical intuition. CALCULATE WITH WORKED SOLUTIONS StatRise includes 39 statistics and probability calculators, including: - Mean, median, mode, range, variance, standard deviation, quartiles, IQR, skewness, and kurtosis - Probability, complements, unions, intersections, conditional probability, and Bayes theorem - Permutations, combinations, and factorials - Normal, binomial, and Poisson distribution tools - Z-tests, t-tests, paired t-tests, chi-square tests, and ANOVA - Confidence intervals for means and proportions - Linear regression, correlation, R-squared, residuals, and scatter plots Free users can use the included free calculators. StatRise Pro unlocks the full calculator library and step-by-step worked solutions. PRACTICE FOR MASTERY Build confidence with 600+ practice questions and detailed explanations. - Today's 5 gives you a focused daily review set - Mixed practice lets you choose what to study - Timed exam mode helps with test pacing - Mistake review keeps track of missed questions - Spaced revision brings weak topics back at the right time Progress is stored locally on your device so you can track accuracy, streaks, weekly goals, and topic mastery without creating an account. SEE PROBABILITY AND STATS VISUALLY Interactive simulations make abstract ideas easier to understand: - Coin and dice simulator - Distribution explorer - Sampling distribution and CLT visualizer - Confidence interval coverage simulator - Regression lab - Type I and Type II error visualizer OFFLINE-FIRST AND PRIVATE Core lessons, calculators, practice, and simulations run on-device. StatRise has no ads, no login system, no tracking, and no custom backend. Purchases and restore require an App Store connection. Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/