Problems & Puzzles: Puzzles

Puzzle 478. Factorials as sums of consecutive primes Farideh sent the following nice puzzle: 5!=59+61=23+29+31+37  Find another number n such that n! is sum of the k consecutive primes in two or more than two ways.

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Contributions came from Jacques Tramu & Giovanni Resta.

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Jacques Tramu wrote:

27!
= 10888869450418352160768000000
= 5444434725209176080383999893 +5444434725209176080384000107
(2 terms)
= 7307966074106276617922239 + 7307966074106276617922293 + ... + 7307966074106276618008687
(1490 terms)

Giovanni Resta wrote:

27!
= 10888869450418352160768000000
= 5444434725209176080383999893 +5444434725209176080384000107
(2 terms)
= 7307966074106276617922239 + 7307966074106276617922293 + ... + 7307966074106276618008687
(1490 terms)
 

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