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单词 Copeland-Erdös Constant
释义

Copeland-Erdös Constant

The decimal 0.23571113171923... (Sloane's A033308) obtained by concatenating the Primes: 2, 23, 235, 2357, 235711,... (Sloane's A019518; one of the Smarandache Sequences). In 1945, Copeland and Erdös showed that it is a NormalNumber. The first few digits of the Continued Fraction of the Copeland-Erdös constant are 0, 4, 4, 8, 16, 18, 5, 1,... (Sloane's A030168). The positions of the first occurrence of in the Continued Fraction are 8, 16, 20,2, 7, 15, 12, 4, 17, 254, ... (Sloane's A033309). The incrementally largest terms are 4, 8, 16, 18, 58, 87, 484,... (Sloane's A033310), which occur at positions 2, 4, 5, 6, 18, 36, 82, 89, ... (Sloane's A033311).

See also Champernowne Constant, Prime Number


References

Sloane, N. J. A. SequencesA019518, A030168, A033308, A033309, A033310, and A033311 in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.


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更新时间:2024/11/15 1:46:46