Lucas Number Checker

Lucas Number Checker is a free online tool used to check if a number is a Lucas number.

Lucas Number Checker

Eg, Is 199 a Lucas number? Enter 199 into the input box and click Calculate button.

What is a Lucas number?

The Lucas numbers are a sequence of integers. They are closely related to Fibonacci numbers, and these numbers are named after Francois Edouard Anatole Lucas. The Lucas series has a recursive relationship where each term in the series is the sum of the previous two terms. The Lucas series and Fibonacci numbers have different starting values. The first two terms of the Lucas numbers are 2 and 1, while the first two in the Fibonacci numbers are 0 and 1. The Lucas number is usually denoted by L_n.

The Lucas numbers can be defined as follows:

Definition of Lucas Number In the Lucas series, the only perfect square is 4. The only triangular numbers are 1, 3, and 5778. The only perfect cubic number is 1.

First 50 Lucas numbers

123
199
322
521
843
1364
2207
3571
5778
9349

15127
24476
39603
64079
103682
167761
271443
439204
710647
1149851

1860498
3010349
4870847
7881196
12752043
20633239
33385282
54018521
87403803
141422324

228826127
370248451
599074578
969323029
1568397607
2537720636
4106118243
6643838879
10749957122
17393796001

How to use the Lucas number checker

The procedure to use the Lucas number checker is as follows:

1Enter the positive number.
2Click Calculate button to verify whether the input number is a Lucas number.
3Click the Reset button to start a new verification.

Solved examples using the Lucas number checker

Example 1: Is 521 a Lucas number?

Enter 521 into the input box and click Calculate button, as shown in the figure, 521 is a Lucas number.

Example 2: Is 2023 a Lucas number?

Enter 2023 into the input box and click Calculate button, as shown in the figure, 2023 is not a Lucas number.

Lucas Number Checker