Lucas numbers

This tool can be used to show the Lucas numbers. The first 20 elements of the sequence are:
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349.
Please note that F(0)=2, F(1)=1, ..., F(10)=123, ..., etc. The counting starts with 0.
This tool includes all Lucas numbers up to number 10000, L(10000), this number has a length of 2090 digits.

Lucas number check:
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Background

The Lucas numbers are a variation on the Fibonacci numbers. The principle is the same, but the start values are different. The sequence of Lucas starts with 2 and 1, by definition, every next element in the sequence is the sum of the two previous elements.

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