Find n-th Golden Ratio Digit
Calculate specific digits of φ. Runs entirely in your browser, so your data never leaves your device.
Output
The result appears here as you type.
How to use Find n-th Golden Ratio Digit
- 1. Enter the digit position. Type a value into Digit position (after the decimal point) to specify which decimal digit of phi, the golden ratio, 1.61803 and so on, you want returned.
- 2. Read the digit. The tool expands phi to sufficient precision and returns the single digit sitting at your requested position after the decimal point.
- 3. Copy the digit. Copy the returned digit into your answer or notes, or change the position field to look up phi's next digit right away.
When to use Find n-th Golden Ratio Digit
Find n-th Golden Ratio Digit returns a single digit at a chosen position in phi's decimal expansion without generating the whole constant. Use it for a quick lookup in number theory work or a trivia question about phi.
- Answering a specific-digit trivia question. A puzzle asks specifically for the 25th digit of phi rather than the full expansion, and entering the position returns that single confirmed digit.
- Checking a memorized sequence of phi digits. You memorized part of phi's expansion for a challenge and want to confirm one digit at a particular position against the true value.
- Testing a golden ratio calculation script. You wrote code that computes phi to high precision using the continued fraction or square root definition, and spot-checking a digit here validates your implementation.
- Preparing a math constants comparison. You are building a comparison table of digits at the same position across pi, e and phi, and looking up phi's digit here fills in that row.
Examples
The first decimal of φ (1.61803…)
Output
6
About the Find n-th Golden Ratio Digit tool
Find n-th Golden Ratio Digit does its work locally, right in the browser. Calculate specific digits of φ. There is no upload step, no queue and no account, and your data never travels over the network.
It belongs to the Math Tools collection on EditSafely, a set of 234 small, focused Math utilities that share the same instant, private workspace.
You can shape the output with the Digit position (after the decimal point) setting, and the result refreshes the moment you change it. A worked example further down the page shows exactly what the tool produces for a real input.
Running locally also makes the tool fast and dependable: results appear as you type or drop a file, there is no server outage that can take it down mid-task, and confidential data can be processed without a second thought.
Frequently asked questions
Does Find n-th Golden Ratio Digit cost anything?
Yes, it is completely free. All 2,658 tools on EditSafely work without an account, a subscription or usage limits.
Does the generator send anything to a server?
No data leaves your device. The whole tool is JavaScript that runs inside your browser tab, so there is no upload, no server-side processing and no log of what you did. If you disconnect from the internet after the page loads, it keeps working.
How do I get a different result?
Run the generator again. Each run is computed fresh on your device, and any options you change are applied to the next result immediately.
Do I need to sign up or install anything?
Nothing to install and no account needed. Open the page in any up-to-date browser, including on a phone or tablet, and the tool is ready.
How do I use the result?
The output panel has a one-click copy button, and you can keep refining the input while you work; the result updates in place as you type.