Problems & Puzzles: Puzzles

Puzzle 975. p repeated p times. Carlos Rivera asks this: Find the smallest prime (or at least a prp) of this type: 22333555557777777... Q. Send your solution.

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Contributions came from Jan van Delden, and Simon Cavegn

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Jan wrote on October 21, 2019

I computed a few until p=1487. The largest number I computed has 565032 digits. I didn’t find any prime (or prp) solution.

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Simon wrote on October 25, 2019

Did not find a prime solution. Searched up to the 254th prime p = 1609. That number has 676888 digits and is not prime.

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