Copeland-Erdős Constant is Normal
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Theorem
The Copeland-Erdős constant, whose decimal expansion is formed by concatenating the prime numbers in ascending order:
- $0 \cdotp 23571 \, 11317 \, 1923 \ldots$
is normal with respect to base $10$.
Proof
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Sources
- 1946: A.H. Copeland and P. Erdős: Note on Normal Numbers (Bull. Amer. Math. Soc. Vol. 52: pp. 857 – 860)
- 1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables ... (previous) ... (next): $0,23571 11317 1923 \ldots$
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Copeland-Erdős number