Copeland-Erdős constant

The Copeland-Erdős constant is the concatenation of “0.” with the base 10 representations of the prime numbers in order. Its value is approximately 0.235711131719232931374143… listed in A033308 of Sloane’s OEIS.

The larger Smarandache-wellin numbers approximate the value of this constant multiplied by the appropriate power of 10.

Its continued fraction is

$0+\\frac{1}{4+\\frac{1}{4+\\frac{1}{8+\\,\\cdots}}}$

and is listed in A030168 of the OEIS.

In base 10, this is a normal number, a fact proven by A.H. Copeland and Paul Erdős in 1946 (hence the name of the constant).

单词	CopelandErdHosConstant
释义	Copeland-Erdős constant The Copeland-Erdős constant is the concatenation of “0.” with the base 10 representations of the prime numbers in order. Its value is approximately 0.235711131719232931374143… listed in A033308 of Sloane’s OEIS. The larger Smarandache-wellin numbers approximate the value of this constant multiplied by the appropriate power of 10. Its continued fraction is $0+\\frac{1}{4+\\frac{1}{4+\\frac{1}{8+\\,\\cdots}}}$ and is listed in A030168 of the OEIS. In base 10, this is a normal number, a fact proven by A.H. Copeland and Paul Erdős in 1946 (hence the name of the constant).
随便看	history of mathematics in the United States of America HistoryOfPrimeNumbers history of prime numbers HittingTime hitting time HittingTimesAreStoppingTimes hitting times are stopping times HjalmarMellin Hjalmar Mellin HlawkasInequality Hlawka’s inequality HNNExtension HNN extension HodgeStarOperator Hodge star operator HodgeTheory Hodge theory HoeffdingInequalityForBoundedIndependentRandomVariables Hoeffding inequality for bounded independent random variables HofstadtersMIUSystem Hofstadter’s MIU system HogattsTheorem Hogatt’s theorem HolderInequality HollowMatrixRings