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53 (another Prime Pages' Curiosity) |
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times on that day (and possibly the next). (caldwell@utm.edu)  The smallest prime which is not the sum or difference between powers of the first two prime numbers.
The number painted on the Volkswagen movie star, "Herbie the Love Bug." Reverse 53 to get the sum of digits of 533. The primes up to and including 53 are required before the first (5-3) decimal digits of this constant make an appearance. [Honaker] 53 is the smallest prime p such that 1p1, 3p3, 7p7 and 9p9 are all prime. [Dale] 253 x 53# - 1 is prime. [Boland] The month and day are simultaneously prime a total of 53 times in a leap year. 53 is the smallest prime factor of 1111111111111 (13 ones). [Astle]
The prayer of Ave Maria is repeated 53 times in the recitation of the rosary. [Desrosiers] The number of primes and the number of semiprimes up to 53 are equal. [Gupta] The state of North Dakota has 53 counties. [Dobb] 53 decimal = 35 hexadecimal. [Nigrine] The Late Diana, Princess of Wales, was on the cover of People magazine 53 times. [Numberland] The smallest multidigit balanced prime. [Russo] The chance that no pair of 53 people in a room have the same birthday is approximately 1/53. [ApSimon] 53 is the smallest prime of the form 10*p + 3 that is the sum of two squares, where p is an odd prime. [Murton] The period of 1/53 is one-quarter of the maximum length possible. [Wells] 2^2 + 7^2 = 53. [La Haye] 53 is formed by the concatenation of the smallest twin primes in reverse order. [Gupta] The sums of five, seven, and eleven consecutive Lucas numbers starting from the 53rd Lucas number, 119218851371, are primes. I.e., L(53)+...+L(57), L(53)+...+L(59), and L(53)+...+L(63) are all prime. This is the smallest Lucas number with such property. [Opao] The website address for Fifth Third Bank (www.53.com). (53!/35!)+1 is prime. [Patterson] The smallest prime with a prime ASCII code: 3533 (in base 16) = 13619, that is prime in base ten, too. [Necula] 53 is the sum of five consecutive primes (5 + 7 + 11 + 13 + 17). The number (53#)2 + 1 is prime. [Patterson] M53 was rediscovered in a prime year (1777). [McAlee] During the Tokugawa Period in Japan, the long road from Kyoto to Edo (now Tokyo), had 53 rest stops along the way. [Haga] ATM (Asynchronous Transfer Mode) is a high-speed network protocol composed of 53 byte "cells." The prime 53 figured in the 1945 WWII battle for Iwo Jima. Task Force 53 brought the 71000 soldiers and 41000 marines. The officer commanding the Japanese troops was Lt. Gen. Tadamichi Kuribayashi, age 53. The average height of a Japanese infantryman was 5'3". Source: History TV Channel. [Haga] 1000^53 - 53 is prime. Note that 53 is the smallest number with this property. [Firoozbakht] The difference between the sum of unitary divisors and the value of the Euler-phi function is iterated, and started at n and a(n) is the length of terminal cycle of iteration involving a high-frequency of the prime number 53. [Labos] The smallest two-digit prime that does not produce a prime by adding a digit to it. (There is no prime '53d'). [Gallardo] The number of member States sitting on The United Nations Commission on Human Rights. [McAlee] 53 = prime( prime(5) + prime(3) ). Note that 53 is the only number with this property. [Firoozbakht] 53 is the first two digits on the AM radio dial. [Cheryl] The p53 gene is a tumor suppressor gene, i.e., its activity stops the formation of tumors. The smallest equal-tempered musical scale that improves on the usual twelve-note scale (in closeness of approximation to the exact musical intervals) has 53 notes. [Keith] Heron's Problem asks to find two rectangles, with integral sides, such that the area of the first is three times the area of the second, and the perimeter of the second is three times the perimeter of the first. Hint: The smallest solution has the rectangle with the larger area containing an integral side equal to 53. 53 is the only prime resulting from concatenation of a pair of twin primes, since any other concatention of this kind is divisible by three. [Silva] The reversal of 53 has sum of digits equal to 53^3. [Silva] In the Dr. Seuss film, "How the Grinch Stole Christmas," the Grinch had been "putting up with" the Christmas celebrations by the Whos of Whoville for 53 years. [Screb] The average U.S. cow produces 53 pounds of milk per day. It is possible to place eight queens on a standard chessboard in which only 53 squares are under attack. Is this the minimum solution? [Madachy] If p is prime, there are 53 rings of size p^3 for p > 2.
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