Start with one number and follow it outward: primes, factors, fractions, the complex plane, p-adics, ordinals, and infinity. Every claim carries a reference.
Start with one number and follow it outward. Unlimited Numbers connects the number line, primes, fractions, sequences, the complex plane, finite fields, infinity, and the structures between them in one native playground.
ONE NUMBER, EVERYTHING IT KNOWS
Fly along the number line, through negative integers, zero, primes, squares, fractions, and familiar constants, then zoom out until the thinning of the primes becomes visible.
Open an integer's card to see its factorisation, divisor lattice, arithmetic functions, nearby primes, and every named property that applies to it.
Property definitions and mathematical claims carry references you can check.
Keep one value in hand. Move the same integer, fraction, decimal, exact constant, or Gaussian integer between rooms without starting over.
SEE THE STRUCTURE BEHIND ARITHMETIC
Watch primes take shape: Ulam, Sacks, and Vogel spirals, prime gaps, counting functions, residue races, and the Goldbach comet.
Turn algebra into geometry. Draw modular multiplication as chords, the Chinese remainder theorem as a wrapping grid, and continued fractions as rectangles cut by Euclid's algorithm.
Walk between fractions through Farey sequences, the Stern-Brocot tree, Ford circles, Egyptian fractions, and the best rational approximations.
Work with very large integers: factor them within a fixed on-device time budget, or test primality on numbers far larger still.
GO PAST THE FAMILIAR LINE
See what a decimal really is. Inspect floating-point values exactly, recognise constants and algebraic numbers, and study repeating expansions in any base.
Feel complex multiplication. Move points directly and watch multiplication rotate and scale them, then explore Gaussian integers and the primes of the complex plane.
Enter other number systems: p-adic numbers, finite fields, number fields, ordinals, cardinals, surreals, and the algebras beyond the complex numbers.
Look toward the frontier. Plot the critical line of the zeta function, and draw families of algebraic numbers as the roots of integer polynomials.
EXPLORE, PLAY, AND TEACH
A map places the natural numbers inside the integers, rationals, reals, and complex numbers, with guided tours through the ideas that connect them.
Named sequences arrive with their terms, plots, definitions, and the reasons they matter.
Games hide the answer while keeping the app's real mathematical machinery underneath.
Printable worksheets come with computed answer keys for factorisation, sieves, fractions, Euclid's algorithm, and modular arithmetic.
ONE PURCHASE, EVERY DEVICE
One purchase covers Mac, iPhone, and iPad. No account, no subscription, no in-app purchases, no ads, no analytics, and no tracking. Every calculation stays on your device.
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Data Not Collected
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Supported Features
VoiceOver
Voice Control
Dark Interface
Sufficient Contrast
Reduced Motion
Information
Seller
The Virtually Unlimited Corp
Size
3.2 MB
Category
Education
Compatibility
Requires macOS 14.0 or later and a Mac with Apple M1 chip or later.
Mac Requires macOS 14.0 or later and a Mac with Apple M1 chip or later.