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* the smallest ] to start a ] of the first kind of six terms, {89, 179, 359, 719, 1439, 2879}. * the smallest ] to start a ] of the first kind of six terms, {89, 179, 359, 719, 1439, 2879}.
* an ] with no imaginary part and real part of the form {{nowrap|3''n'' − 1}}. * an ] with no imaginary part and real part of the form {{nowrap|3''n'' − 1}}.
* a ] and thus a ] as well.<ref>{{Cite web|url=https://oeis.org/A005478|title=Sloane's A005478 : Prime Fibonacci numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref> The first few digits of its reciprocal coincide with the Fibonacci sequence due to the identity * The 11th ] and thus a ] as well.<ref>{{Cite web|url=https://oeis.org/A005478|title=Sloane's A005478 : Prime Fibonacci numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref> The first few digits of its reciprocal coincide with the Fibonacci sequence due to the identity
::<math>\frac{1}{89}=\sum_{n=1}^\infty{F(n)\times 10^{-(n+1)}}=0.011235955\dots\ .</math> ::<math>\frac{1}{89}=\sum_{n=1}^\infty{F(n)\times 10^{-(n+1)}}=0.011235955\dots\ .</math>
* a ], appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers. * a ], appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers.

Revision as of 00:22, 4 January 2025

Natural number
← 88 89 90 →
80 81 82 83 84 85 86 87 88 89 0 10 20 30 40 50 60 70 80 90
Cardinaleighty-nine
Ordinal89th
(eighty-ninth)
Factorizationprime
Prime24th
Divisors1, 89
Greek numeralΠΘ´
Roman numeralLXXXIX, lxxxix
Binary10110012
Ternary100223
Senary2256
Octal1318
Duodecimal7512
Hexadecimal5916

89 (eighty-nine) is the natural number following 88 and preceding 90.

In mathematics

89 is:

1 89 = n = 1 F ( n ) × 10 ( n + 1 ) = 0.011235955   . {\displaystyle {\frac {1}{89}}=\sum _{n=1}^{\infty }{F(n)\times 10^{-(n+1)}}=0.011235955\dots \ .}
  • a Markov number, appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers.

M89 is the 10th Mersenne prime.

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: 8813200023188.

There are exactly 1000 prime numbers between 1 and 89=7921.

In science

Eighty-nine is:

In astronomy

In sports

In other fields

TI-89
Diaethria clymena eyespots

Eighty-nine is also:

See also

References

  1. "Sloane's A109611 : Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. "Sloane's A002144 : Pythagorean primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. "Sloane's A005478 : Prime Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  4. Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/196-Algorithm.html
  5. "Prime Curios! 89". primes.utm.edu. Retrieved 2022-12-19.
  6. "NASA/IPAC Extragalactic Database". Results for NGC 4552. Retrieved 2006-10-24.
  7. "Interstate 89". Interstate Guide. Retrieved December 3, 2018.
  8. "What Does China Censor Online?". www.informationisbeautiful.net. Retrieved 28 May 2015.
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