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A Lucas number is a member in the Lucas sequence.

The Lucas sequence begins 2, 1, 3, 4, 7, E, 16, 25, 3E, 64, X3, 147, 22X, 375, 5X3, 958, 133E, 2097, 3416, 54E1, 8907, 121E8, 1XE03, 310EE, 50002, 81101, 111103, 192204, 2X3307, 47550E, 758816, 1012125, 176X93E.

Period of final digits[]

The final digits of Lucas numbers repeat with 2, 1, 3, 4, 7, E, 6, 5, E, 4, 3, 7, X, 5, 3, 8, E, 7, 6, 1, 7, 8, 3, E, with period 20.

No Lucas number ends with 0 or 9, thus, no Lucas number is divisible by 10. (however, for any proper divisor of 10 (i.e. 1, 2, 3, 4, 6), there is a Lucas number divisible by this number)

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