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・ 88th Minnesota Legislature
・ 88th Motor Rifle Division
・ 88th New York Infantry
・ 88th New York State Legislature
・ 88th Ohio Infantry
・ 88th parallel
・ 88th Postal and Courier Regiment RLC
・ 88th Regiment of Foot (Connaught Rangers)
・ 88th Regiment of Foot (disambiguation)
・ 88th Regiment of Foot (Highland Volunteers)
・ 88th Scripps National Spelling Bee
・ 88th Street (IND Fulton Street Line)
・ 88th United States Congress
・ 89
・ 89 (disambiguation)
89 (number)
・ 89 Albert Embankment
・ 89 Aquarii
・ 89 BC
・ 89 Combat Flying School
・ 89 Cubs
・ 89 Herculis
・ 89 Julia
・ 89 Millimeter
・ 89 North Bergen-Hoboken
・ 89 Squadron
・ 89 Virginis
・ 89.0 RTL
・ 89.1 FM
・ 89.1 Radio Blue Mountains


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89 (number) : ウィキペディア英語版
89 (number)

89 (eighty-nine) is the natural number following 88 and preceding 90.
== In mathematics ==
Eighty-nine is the 24th prime number, following 83 and preceding 97. 89 is a Chen prime and a Pythagorean prime. It is the smallest Sophie Germain prime to start a Cunningham chain of the first kind of six terms, . 89 is an Eisenstein prime with no imaginary part and real part of the form 3n - 1. ''M''89 is the 10th Mersenne prime.
89 is a Fibonacci number and thus a Fibonacci prime as well. The first few digits of its reciprocal coincide with the Fibonacci sequence due to the identity
:\frac=\sum_^\infty{F(n)\times 10^{-(n+1)}}=0.011235955\dots\ .
89 is also a Markov number, appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers.
Although 89 is not a Lychrel number in base 10, it is unusual that it takes 24 iterations of the reverse and add process to reach a palindrome. Among the known non-Lychrel numbers in the first 10000 integers, no other number requires that many or more iterations. The palindrome reached is also unusually large.〔Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. (http://mathworld.wolfram.com/196-Algorithm.html )〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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