
About
Visualize numbers in their real and p-adic completions simultaneously. Explore digits in base p, analyze algebraic numbers, and delve into special functions. Offers a library of examples and is designed for privacy.
What's New in p
1.1
October 6, 2026
A new look and a much more careful engine. • New app icon — the nested balls of ℤ₅, now in layered glass. • Newton polygons and factorization over ℚₚ are fixed; polynomials with mixed slopes now work. • Repeating blocks of every rational are now exactly right, and long runs of digits fold into tap-to-open pills. • Square roots at p = 2, non-squarefree radicands, cyclotomic digits and Galois conjugates are corrected. • exp, log, Artin–Hasse, factorials and Γₚ are exact to the chosen precision instead of stopping early. • No more crashes or freezes on extreme inputs (huge primes, exp(30), enormous exponents, deeply nested parentheses) — they are refused with a clear message. • The ∞ column shows the sign and integer part (√2 = 1.41421…). • Columns say why they are unavailable (needs extension, diverges here, not real) and offer the right action. • Friendlier errors, dimmed stale results, History entries you can reopen, Library search. • Proper math typesetting (ℚ₅, exponents), Dynamic Type, VoiceOver descriptions for every visualization, larger touch targets. • The keyboard no longer pushes the screen around, including on iPhone SE.
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FAQ
What is p-adelic?
p-adelic is an educational application designed to visualize numbers in their real and p-adic completions simultaneously. It allows users to explore digits in base p, analyze algebraic numbers, and delve into various number theory concepts.
What kind of numbers can I explore in p-adelic?
You can explore various types of numbers including fractions, square roots, polynomials, logarithms, algebraic numbers like √d and roots of unity, and special functions like p-adic exp and log. The app shows their representations across the real line and prime p columns.
How does p-adelic handle precision?
p-adelic offers streaming precision from 5 to 200 digits, with every column updating simultaneously. You can adjust the precision dial to see more or fewer digits as needed for your analysis.
Does p-adelic have ads?
No, p-adelic does not contain advertisements. It is designed to be a focused learning tool without interruptions.
Is p-adelic available on Android?
Based on the provided data, p-adelic is currently supported on iPhone and iPad. Information regarding Android availability is not included.
How often is p-adelic updated?
The app was last updated on October 6, 2026, with version 1.1. This indicates a recent update, suggesting ongoing development and maintenance.
What is the learning methodology of p-adelic?
p-adelic employs a visual and interactive learning methodology. It provides a live picture of number theory concepts, allowing users to explore and understand them through dynamic visualizations and a library of worked examples.
Does p-adelic offer certifications?
The provided information does not indicate that p-adelic offers any formal certifications. Its primary focus is on aiding understanding and research in p-adic numbers and related mathematical fields.






