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29 (another Prime Pages' Curiosity) |
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will be down at times on those day (and possibly the next). (caldwell@utm.edu)  The first time that a mean prime gap (average number of composites between successive primes) is a positive integer occurs at 29. [Honaker]
The last of the smallest set of five primes in arithmetic progression. Floccinaucinihilipilification contains 29 letters and is the longest word in the first edition of the Oxford English Dictionary. Note that the letter e does not occur. The human skull is made-up of 29 bones. If an odd perfect number exists, it must have at least 29 prime factors (not necessarily distinct). 29 is the smallest prime of the form 7n + 1. The B-29 Superfortress was a long-range heavy bomber aircraft flown by the U.S. Military in WWII and the Korean War. [Haga] The square root of 6! + (6! + 6)/6. [Mensa] The extra day in a leap year is February 29. [Barnhart] The number of visible notches on one of the oldest known recording devices: a section of baboon bone dated to 35000 B.C. that was found in a Swaziland cave. [Joseph] The Norwegian alphabet has contained 29 letters since 1980. These are usually represented as our alphabet plus the additional letters Æ, Ø, and Å. The smallest Gilda prime. Note that if a Fibonacci-like sequence is formed with the first term equal to the absolute value between the digits of 29 (i.e., 7) and the second term equal to the digit sum of 29 (i.e., 11) then 29 itself occurs as a term in the sequence: 7, 11, 18, 29. [Russo] 29 is congruent to 2 (mod 9). [Honaker] 29 + 2n2 is prime for n = 0 to 29. [Legendre] The late Bobby Fischer was 29 years old at the time of his 1972 World Chess Championship victory. 29 is the largest prime factor of 1972, i.e., 1972 = 2 * 2 * 17 * 29. Note that 12 + 92 + 717 + 229 is prime. Was this "Fischer's prime?" [Honaker] 29 may be written in two ways as combinations of the first four primes and the three basic arithmetic operations: 29 = (2*7)+(3*5) = (5*7)-(2*3). [Rupinski] The great blues musician Robert Johnson recorded 29 songs. [McCranie] Euclid's 29th Proposition was the first one to use his parallel postulate. [McCranie] The smallest prime of form pp + 2. [Murthy] Largest prime such that sum of its digits is greater than number of primes up to it. [Gupta] The smallest multidigit prime whose product of digits of its cube is also a cube. [Russo] 229 is the largest power of 2 whose digits are all distinct. [Wu] The state of Utah has 29 counties. [Dobb] 29 is the second integer parameter n2 in Gilson's formula α(n1, n2) = n2cos(π/n1)tan(π/(n1n2))/π for the value of the fine structure constant α = α(137, 29) = 0.0072973525318.... The great majority of the works by which the postimpressionist painter Vincent Van Gogh is remembered were produced in 29 months of frenzied activity and intermittent bouts with epileptoid seizures and profound despair that finally ended in suicide. [de la Faille] The British warship HMS Dreadnought rammed and sank the German submarine U-29. [Haga] For any 6469693230 consceutive integers, 36495360 will have 29 as a lowest prime factor. [Schuler] The MiG-29 is a Russian fighter aircraft. Twentynine Palms, California, is a prime destination! [Jen] The largest known prime p such that 5p contains no pair of consecutive equal digits. [Russo] The 29th Fibonacci number (514229) is a prime ending in 29. [Gupta] The only non-titanic prime of form pp + 2. [Wanless] The highest possible score of a single hand in the card game cribbage is 29. [McGowan] 29 is the smallest overdue prime (p/log(p) - q/log(q) > 1, where q is the preceding prime). [Schimke] The smallest multi-digit prime which on adding its reverse gives a perfect square (i.e., 29 + 92 = 11^2). [Gupta] The smallest prime that is equal the product of its digits plus the sum of its digit, i.e., 29 = (2 * 9) + (2 + 9). [Wagler] In the Bible, the First Book of Chronicles has exactly 29 chapters. [Hartley] 72 + 82 + ... + 282 + 292 is a square. [Capelle] 329 - 229 is prime. [Capelle] A prime is formed by using 29 twice in the Firoozbakht function, i.e., fi(29, 29). The smallest prime equal to the sum of three consecutive squares: 22 + 32 + 42. [Schlesinger] TWENTY NINE can be written out with exactly 29 toothpicks. 29 can be written as a sum of primes in exactly 3 * 29 ways. [Hartley] 29^23 + 19^17 + 13^11 + 7^5 + 3^2 is prime. [Patterson] The middle chapter of the Old Testament is Job 29. The smallest prime of the form 6n-1 = 7m+1. [Necula] 29 is only known number m such that both m!-R(m) and m!+R(m) are primes. I.e, 29! - 111...1 (29 ones) and 29! + 111...1 (29 ones) are both primes. [Firoozbakht] 29 is the maximum number of squares a chess bishop can visit if it is only allowed to visit each square once. 2^9 + 9^2 is prime. [Losnak] 29 = (2 * 9) + (2 + 9). [Teofilatto] 29 people were able to escape through "Tunnel 29." Chattanooga's Terminal Station was significant in its role of the train era with "Track 29." [McCranie] 29 = 2*5 + 3*3 + 5*2. [Poo Sung] 29 people lost their life when the ship the SS Edmund Fitzgerald sank on Lake Superior (17 miles north-northwest of Whitefish Point, Michigan). [McCranie] A proof of the infinitude of prime numbers is in Book IX (Proposition 20) of Euclid's Elements. Note that IX + 20 = 29. [Joyce] Bhargava and Hanke proved that if an integer valued quadratic form (such as 3x2 + 2xy + 4y2) can represent the numbers 29 numbers: 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 17, 19, 21, 22, 23, 26, 29, 30, 31, 34, 35, 37, 42, 58, 93, 110, 145, 203 and 290; then it can represent every positive integer. [Caldwell] The smallest prime preceded by five consecutive composite numbers. [Beedassy] Mrs. Prime reads her recantation in Chapter 29 of the nineteenth century classic Rachel Ray by British novelist Anthony Trollope. There are 29 chapters of the Qur'an that are prefixed with certain letters of the Arabic alphabet (or Qur'anic Initials). [Yuksel] Saturn requires over 29 years to orbit the Sun. [Papoiu] The smallest prime formed by concatenation of a prime and a semiprime. [Silva] The IBM 29 card punch was first sold in 1964. It continued to sell for two full decades. The only two-digit prime which is the sum of the digits of all previous two-digit primes. [Silva] According to Gauss, "There have been only three epoch-making mathematicians: Archimedes, Newton, and Eisenstein." Why have so few heard of the latter? Perhaps because Ferdinand Eisenstein died at the age of 29. "KOI 29?" is the equivalent French acronym for "WU?" meaning "What's up ?" in chat language. [Beedassy]
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