Problems & Puzzles: Puzzles

Puzzle 537. n^n = n mod [prime(n)]

Farideh Firoozbakht sent the following puzzle:

a) 20201^20201 = 20201  [mod  prime(20201)]
b) 20201 is a prime
 
Can you find more primes with this property (*) ?

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* S
ee A177005

 

J. K. Andersen wrote:

The next prime is 6800832991. There are no others below 10^11

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