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73 (another Prime Pages' Curiosity) |
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  (73) = 7 * 3. [Honaker]
The largest integer with the property that all permutations of all its substrings are primes. [Keith] 73! + 1 is prime. [Buhler , Crandall , and Penk] There are exactly 73 primes, beginning with the prime 1093 and ending with the prime 1613, where 10932 + 10972 + ... + 16132 = 117072. This is the first instance of a prime number of primes comprising the left member of such an equation. [Haga] Here's a neat trick with its digits: 73 = 343 or (3 + 4)3. The smallest prime whose digits are reversed in base 22. [Haga] The 2p-twin peak of height p = 73 is the smallest known twin peak. [Hoey] The USS George Washington (CVN-73) currently has the largest prime hull number of any aircraft carrier in the American fleet. The minimum number of sixth powers needed to represent every possible integer. [Pillai] 312/219 ~ 1 + 1/73. [Littlewood] Starting with 73, you must repeatedly double and add 1 a palindromic number of times before a prime is reached. [Roonguthai] The smallest prime whose square (5329) is the concatenation of two multidigit primes. [Trotter] 389 and 17 are primes, as is their concatenation (38917). Inserting the lowly 0 between them transforms the prime into a power, i.e. 389017, the cube of 73, a prime itself. [Trotter] The record number of major league home runs hit in one season is 73. Barry Bonds set it in 2001. The space shuttle Challenger disaster occurred 73 seconds after liftoff. The Empire State Building has 73 elevators. The only number which is 1 less than the double of its reversal which also is a prime. [Murthy] The content editor of "Prime Curios!" is credited on page 73 of R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, Springer-Verlag, NY, (2002 printing), with noting that 61 divides 67*71 + 1. Note that 61, 67, 71, and 73 are consecutive primes! [Haga] The song "Ride, Captain, Ride" begins with "73 men sailed up from the San Francisco Bay, ..." [McCranie] The number formed by the concatenation of odd numbers from 73 down to 1 is prime. [Patterson] The prime number 73 is the repunit 111 in octal (base 8) and the palindrome 1001001 in binary (base 2). [Dobb] It took Australian anatomy professor Raymond Dart 73 days to chisel the skull of Taung Child from its surrounding stone matrix. [O'Neil] Pi Day (March 14 or 3/14) occurs on the 73rd day of the year on non-leap years. [Rupinski] 73 is the smaller prime factor of 10001. [Hartley] The total number of books in the Catholic Bible if the Book of Lamentations is counted separate from the Book of Jeremiah. [Medine] Thomas Jefferson and Aaron Burr each received 73 electoral votes and tied for the presidency. (73!)/(73#)-1 is prime. [Patterson] Gakuho Abe constructed a pair of magic squares using 73 consecutive prime numbers. Manjul Bhargava showed that if a quadratic form represents all prime numbers up to 73, then it represents all prime numbers. [Poo Sung] There are 73 composite numbers under 10^2. Proof: 73+25 primes = 98. There are 99 numbers under 10^2, but 1 is neither prime nor composite. This is the only instance of a prime count of composites through 10^22. [Haga] The second prime Apéry number. [Post] If the alphabet is converted into numbers (such that a=1,b=2,c=3, etc.), then the word "number" would be 14+21+13+2+5+18 = 73, prime. [Speirs] The largest two-digit prime n such that n!/reversal(n)+1 is prime. [Patterson] A tropical storm is considered a hurricane if its sustained wind is higher than 73 miles per hour. [Wu] The Maya, who came to prominence in the New World in the 3rd century A.D., used two calendars, based on a sacred year of 260 days and a vague year of 365 days. The least common multiple of the two calendars, called the calendar round, has 18980 days or 73 sacred years. [Dershowitz] The success of the magazine known as 73 Amateur Radio Today gave Wayne Green the money to launch Byte magazine. [Pierce] The Discordian calendar has five 73-day seasons: Chaos, Discord, Confusion, Bureaucracy, and The Aftermath. "My community will divide into 73 sects." Prophet Muhammad (circa 622). 73 is the amateur radio operator way of saying "best regards." [McCranie] The number of rows in the Arecibo Message graphic. The Arecibo Message is a radio message that was sent toward a globular star cluster in Hercules from a radio telescope in Puerto Rico on November 16, 1974. The entire transmission lasted a semiprime number of seconds and provided a way for extraterrestrials to arrange a 73-by-23 array into recognizable data about our life and solar system. The number of the PT boat in "McHale's Navy" is 73. [McCranie] The first difficult prime to form under the rules of the four 4s problem. [Caldwell] The sum of the first 73 odd primes is divisible by 73. [Seidov] The prime 73 is the 37th odd number. [Hasler]
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