Generate Fibonacci Primes
Quickly generate Fibonacci numbers that are prime. Runs entirely in your browser, so your data never leaves your device.
Output
The result appears here as you type.
How to use Generate Fibonacci Primes
- 1. Set how many primes. Enter How many primes to decide the length of the list. Fibonacci primes are rare compared to plain Fibonacci numbers, so the tool searches further into the sequence as this number grows.
- 2. Set a separator. Choose Separator, a comma or newline, to format the output for a plain list, a code array or a spreadsheet column.
- 3. Copy the results. The tool walks the Fibonacci sequence, tests each term for primality, and keeps only the ones that pass. Copy the list for your number theory reference.
When to use Generate Fibonacci Primes
Generate Fibonacci Primes filters the Fibonacci sequence down to just the terms that are also prime numbers. It saves the two-step work of generating Fibonacci terms and then checking each one for primality by hand.
- Studying the overlap between two famous sequences. A number theory student exploring which Fibonacci numbers happen to also be prime wants a verified list to compare against their own combined generation and primality-testing script.
- Testing a combined filter pipeline. A developer who chained a Fibonacci generator into a primality checker validates the pipeline's output against this tool's list to confirm both stages are working together correctly.
- Referencing OEIS A005478. Someone reading about Fibonacci primes in a paper or on OEIS wants to quickly regenerate the first several terms to confirm the sequence matches what is being cited.
- Building an example set for a lecture. An instructor covering both recursive sequences and primality in the same lecture uses Fibonacci primes as a natural bridge example connecting the two topics.
Examples
The first nine Fibonacci primes
Output
2, 3, 5, 13, 89, 233, 1597, 28657, 514229
About the Generate Fibonacci Primes tool
Generate Fibonacci Primes is a free online tool that works entirely inside your web browser. Quickly generate Fibonacci numbers that are prime. Because the processing happens on your own device, nothing you enter is uploaded, logged or stored anywhere.
This page is one of 234 Math utilities on EditSafely. Each one does a single job well, and all of them follow the same rule: your input stays on your machine.
You can shape the output with 2 settings, including How many primes and Separator, and the result refreshes the moment you change one. A worked example further down the page shows exactly what the tool produces for a real input.
Because nothing leaves your device, the tool is suitable for sensitive content such as internal documents, credentials or customer data. It also responds instantly, since every keystroke is handled on your own machine rather than by a remote API.
Frequently asked questions
Does Generate Fibonacci Primes 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.