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Mersenne primes, digits occurrence statistics

Mersenne prime is a prime number of the form Mn = 2^n − 1.

The pictures below show the digit occurrence in Mersenne primes. For large Mersenne primes we see that the occurrence frequency gets equal for all digits.

Mp1 Mp2 Mp3 Mp4 Mp5 Mp6 Mp7 Mp8 Mp9 Mp10 Mp11 Mp12 Mp13 Mp14 Mp15 Mp16 Mp17 Mp18 Mp19 Mp20 Mp21 Mp22 Mp23 Mp24 Mp25 Mp26 Mp27 Mp28 Mp29 Mp30 Mp31 Mp32 Mp33 Mp34 Mp35

Mp36

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