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Sally wants to make a bracelet where each bead, numbered sequentially up to a length given, is next to another bead so that the numbers on each sum to a prime number. How many ways can she rearrange the beads to make this bracelet? For example: length given is 4, so beads are numbered 1234. The only ways to arrange this bracelet so that all adjacent numbers sum to a prime, is 1234 or 4123
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Part-Time Developer

Interviewed at Barclays

4★
Apr 20, 2018

Sally wants to make a bracelet where each bead, numbered sequentially up to a length given, is next to another bead so that the numbers on each sum to a prime number. How many ways can she rearrange the beads to make this bracelet? For example: length given is 4, so beads are numbered 1234. The only ways to arrange this bracelet so that all adjacent numbers sum to a prime, is 1234 or 4123

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