Lucas Prime Test

The Lucas Prime Test tool checks whether numbers are both part of the Lucas sequence and also prime. A Lucas number is part of a sequence that starts with 2 and 1, using the rule Lₙ = Lₙ₋₁ + Lₙ₋₂. This tool takes a list of numbers, evaluates each one, and tells you if it’s a Lucas prime.

It’s fast, simple, and updates live. You can paste a list, tweak it, and instantly get feedback. The results are clear, easy to copy or export, and designed for use in math exploration, teaching, or number theory research.

Paste your input above or import a file below.
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Supported file types: .txt, .csv, .tsv, .log, .json, .xml, .md, .ini, .yaml, .yml, .html, .htm, .css
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Options
Ignore invalid numbers
Only show Lucas primes
Maximize output

How to Use:

  1. In the Input Numbers box, type or paste numbers one per line.
  2. Click Test, or let it auto-run as you type.
  3. Each number is checked for primality and membership in the Lucas sequence.
  4. Results appear in the Lucas Prime Check Output box.
  5. Use Copy Output to copy the results or Export to File to save them.
  6. Click Clear All to reset and try new inputs.

What Lucas Prime Test can do:

It answers a very specific question: is this number both a prime and a Lucas number? The tool clearly labels each result, such as “7 is a Lucas prime” or “18 is not a Lucas prime.” You can input as many numbers as you like, and the output updates live. It also counts how many results you’ve processed.

This setup makes it perfect for checking bulk lists or verifying known values.

Example:

Input:

2
3
4
7
11
18

Output:

2 is a Lucas prime
3 is a Lucas prime
4 is not a Lucas prime
7 is a Lucas prime
11 is a Lucas prime
18 is not a Lucas prime

Common Use Cases:

The Lucas Prime Test tool is ideal for anyone exploring the intersection of Lucas numbers and prime numbers. Whether you’re working on a math project, checking homework, or verifying terms from a research paper, this tool gives quick, reliable results with no need for manual calculation. Just paste, test, and you’re done.

Useful Tools & Suggestions:

Give Prime Number Test a go if you want to compare results it’s more general but helps confirm your findings. And if you’re working with lists of numbers, Try Remove Duplicate Lines to clean things up fast before testing.

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