Note on Normal Decimals
نویسنده
چکیده
It was proved by Champernowne [2] that the decimal . 1234567891011 . . . is normal, and by Besicovitch [11 that the same holds for the decimal . 1491625 . . . . Copeland and Erdös [3] have proved that if p i, P2 . . . . is any sequence of positive integers such that, for every 0 < 1, the number of p's up to n exceeds nB if n is sufficiently large, then the infinite decimal •p ip 2p 3 . . . is normal. This includes the result that the decimal formed from the sequence of primes is normal . In this note, we prove the following result conjectured by Copeland and Erdös
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