|
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 . ''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 : 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)』 ■ウィキペディアで「89 (number)」の詳細全文を読む スポンサード リンク
|