1946/01/01 by Arthur H. Copeland, P. Erdös · 7 citations
Mathematics · Computer Science · #Analytic Number Theory Research #semigroups and automata theory #Benford’s Law and Fraud Detection #Mathematics
paper · pdf · doi:10.1090/s0002-9904-1946-08657-7
openalex publication_date 1946/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07
proved that the infinite decimal 0.123456789101112 was normal (in the sense of Borel) with respect to the base 10, a normal number being one whose digits exhibit a complete randomness. More precisely a number is normal provided each of the digits 0, 1, 2, , 9 occurs with a limiting relative frequency of 1/10 and each of the 10* sequences of k digits occurs with the frequency 10"""*. Champernowne conjectured that if the sequence of all integers were replaced by the sequence of primes then the corresponding decimal 0.12357111317