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89 (another Prime Pages' Curiosity) |
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will be down at times on those day (and possibly the next). (caldwell@utm.edu)
89 and 97 are the first pair of consecutive primes differing by 8. The smallest composite-digit prime. 12 * 34567 + 89 is a 9-digital prime expression. If you double 89 and add 1, then repeat the process, you'll get six Sophie Germain primes before you get the first composite. Two to the power 89, minus one, was first proved prime by a man whose last name was Powers. 89 = 8 + 92. 89 is the smallest circular-digit prime. Hellin's law states that twins occur once in 89 births, triplets once in 892 births, and quadruplets once in 893 births. This was before the advent of fertility methods. [Crown] 22 + 33 + 55 + 77 + 1111 + ... + 8989 is prime. [Crespi de Valldaura] The reciprocal of the Fibonacci prime number 89 starts out 0.011235... (generating the first five Fibonacci numbers). [Hafen] The concatenation of all odd primes starting from 89 and counting in reverse is prime. [Gupta] The two area codes added in the 1999-2000 time period that overlay the 215 area code in Pennsylvania (Philadelphia area) are both multiples of 89: 267 = 3 * 89 and 445 = 5 * 89. [Litman] M89 begins with digits 61 89. Note the greatest integer function of the natural log of M89 is 61. [Luhn] 89 contains two consecutive numbers in order. [Das] (88*99) is congruent to 8*9 (mod 89). [Luhn] 89 is the largest Fibonacci number occurring in natural floral arrangements as the most common number of petals of the Michaelmas daisy (asteraceae family). [Beedassy] The US Air Force 89th Presidential Airlift Group consists of the President's Air Force One airplanes. [Anon] The smallest prime that is a concatenation of p^q and q^p where p and q are prime. [Murthy] The smallest multidigit prime p such that the sum of digits raised to the consecutive powers is equal to p itself. [Russo] The Steinhaus Cyclus comes either to one or inevitably to 89. 89 is the prime among two-digit numbers that requires the most reverse-and-adding to become a palindrome. The smallest holey prime. The smallest multidigit prime whose binary (1011001), octal (131) and hexadecimal (59) representations are primes too. [Kik] 89 is the smallest prime (indeed the smallest positive integer) whose square (7921) and cube (704969) are likewise prime upon reversal. [Trotter] The longest verse in the KJV Bible is Esther 8:9 with 89 plus one words. The Queenland Legislative Assembly consists of 89 Members. The height of the pedistal under the Statue of Liberty is 89'. [Patterson] 89 is the larger prime factor of 2^11-1, the smallest composite Mersenne number with prime exponent. [Terr] The smallest prime for which the sum of all odd primes less than or equal to it is a square. [Astle] 89 is the smallest prime that is changed into a composite number if any digit is deleted. [Astle] 89 = 8*9 + 8+9. [Losnak] 89 is the smallest number whose binary and octal representations are all different and all prime if read in decimal. I.e., 1011001 and 131 are all prime. Besides, 89 itself and the hexadecimal representation 59 are also prime. [Poo Sung] The smallest prime formed by concatenation of perfect powers. [Silva]
(There is one curio for this number that has not yet been approved by an editor.)
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