Prime Curios!: 53

53
(another Prime Pages' Curiosity)

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The sums of five, seven, and eleven consecutive Lucas numbers starting from the 53rd Lucas number, 119218851371, are primes. I.e., L(53)+...+L(57), L(53)+...+L(59), and L(53)+...+L(63) are all prime. This is the smallest Lucas number with such property. [Opao]

Submitted: 2004-01-01 06:58:32; Last Modified: 2008-01-30 11:28:00.