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Lucas Numbers

Generate Lucas numbers.

The Lucas numbers are a variation on the Fibonacci sequence. Each number in the sequence is the sum of the two numbers that precede it and begins with 2 and 1. So, the sequence goes: 2, 1, 3, 4, 7, 11, 18, 29, 47, 123, 199, and so on.

Calculate Any Position uses fast-doubling and runs in a Web Worker so it works on desktop and mobile. It can produce values up to position 1,500,000.

Search the first 100,000 iterations of the Lucas sequence below for specific values, digit lengths, or ranges.

Calculate Any Position

Computed on demand via fast-doubling. Up to position 1,500,000.

Search First 100,000 Lucas Numbers

These tools scan sequentially up to position 100,000. Values above 25,000 prompt for confirmation.