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109 (another Prime Pages' Curiosity) |
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103# + 107 is divisible by 109. Note the use of consecutive primes. [Rupinski] If 109 is written in Roman notation (CIX), then it becomes reflectable along the line it is written on. Sustained body temperatures of over 109 degrees Fahrenheit are normally incompatible with life. When chilled below minus 109°F, CO2 becomes a solid, called dry ice. 109 equals the square root of 11881 or 118 - 8 - 1. The only three-digit prime formed by concatenation of consecutive numbers. [Silva] Shibuya 109 is a trend setting fashion complex for young women in Tokyo, Japan. One of the buildings there is called "The Prime." [Anansi] The registry number of the famous patrol boat PT-109, commanded by John F. Kennedy. 109 can be expressed as 22 * 33 + 1. [Patterson] The Caldwell Catalog contains 109 deep-sky delights for backyard stargazers. Vatican City covers an area less than 109 acres. In the period of the reciprocal of 109 can be seen the powers of 11, read from right to left: 1/109 = ...990825688073394495412844036697247706422018348623853211. This can be expressed as the sum of 11^n * 10^n, for n=0 to infinity (1 + 110 + 12100 + 1331000 + ...). A related, and probably more apparent, observation is that in this period, from right to left, can be seen the Fibonacci series--albeit with just one decimal place allotted to each number. [Toews] The Sun is about 109 times the diameter of the Earth. [Friedman] 109 = prime(prime (1+0+9)). Note that 109 is the only number with this property. [Firoozbakht] The smallest prime formed from reverse concatenation of two consecutive composite numbers. [Gupta] 109 = (7^3-5^3)/2 is the smallest prime which equals to one half of the difference of cubes of primes. [Simon] The smallest prime number which is sum of primeval primes. [Capelle] There are 109 letters in the quotation: "Given the millennia that people have contemplated prime numbers, our continuing ignorance concerning the primes is stultifying." R. Crandall and C. Pomerance, from Prime Numbers: A Computational Perspective, Springer-Verlag, 2001. [Post] 109 can be expressed in the palindromic form 12*3^2+1. [Rupinski] The smallest invertible prime whose reversal is an invertible semiprime. [Capelle] The smallest prime formed by the concatenation of semiprimes. [Silva] In the movie "Escape From Alcatraz," 109 is the number of the cell assigned to Frank L. Morris (Clint Eastwood).
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