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(another Prime Pages' Curiosity)
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The nth Prime Page will now find any of the first 2.623˙1015 primes or π(x) for x up to 1017.

+ 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 prime in the smallest set of five primes in arithmetic progression.

+ Floccinaucinihilipilification contains 29 letters and is the longest nontechnical word in the first edition of the Oxford English Dictionary. Note that the letter e does not occur.

+ 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 World War II and the Korean War. [Haga]

+ 29 = sqrt(6! + (6! + 6)/6). [Mensa]

+ The extra day in a leap year is February 29. [Barnhart]

+ The number of visible notches on the Lebombo bone. This mathematical object was found at Border Cave in the Lebombo mountains of South Africa and is believed to be at least 37000 years old. It resembles the calendar sticks still used today by the Bushmen of Namibia. [Joseph]

+ The Danish and Norwegian alphabet consists of 29 letters.

+ 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).

+ 2n2 + 29 is prime for n = 0 to 28. [Legendre]

+ Bobby Fischer was 29 years old at the time of his 1972 World Chess Championship victory in Reykjavik, Iceland. 29 is the largest prime factor of 1972. Was this "Fischer's prime?"

+ 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 legendary Mississippi blues musician Robert Johnson (1911-1938) recorded only 29 songs. [McCranie]

+ Euclid's 29th Proposition (Elements, Book I) was the first one to use his parallel postulate. [McCranie]

+ 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]

+ 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 (or 29 Palms), California, is located approximately halfway between Los Angeles and Las Vegas and is considered by many to be 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, where p is prime. [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 multidigit prime which on adding its reverse gives a perfect square (i.e., 29 + 92 = 11^2). [Gupta]

+ The Oxyrhynchus papyrus containing a complete diagram (dated A.D. 75-125) from Euclid's Elements has a red 29 on it that was presumably written there by B. P. Grenfell or A. S. Hunt of Oxford University. The fragment is now in the storage vaults of the Penn Museum (University of Pennsylvania Museum of Archaeology and Anthropology).

+ 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!-Rm and m!+Rm 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. (Here, "visit" means that squares passed over in a move are also visited.)

+ The largest natural number n for which the sum of digits is not smaller than n/3. [Capelle]

+ 2^9 + 9^2 is prime. [Losnak]

+ 29 = (2 * 9) + (2 + 9). [Teofilatto]

+ 29 people were able to escape through "Tunnel 29."

+ Track 29 is the line on which the display locomotive "Chattanooga Choo Choo" now rests in Chattanooga, Tennessee. [McCranie]

+ 29 = 2*5 + 3*3 + 5*2. [Poo Sung]

+ 29 people lost their life when the SS Edmund Fitzgerald sank on Lake Superior (17 miles north-northwest of Whitefish Point, Michigan; November 10, 1975). [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]

+ Mrs. Prime reads her recantation in Chapter 29 of the 19th century classic Rachel Ray by British novelist Anthony Trollope.

+ There are 29 suras 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 be sold 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]

+ The five-and-a-half century old nature-worshipping Indian Bishnoi (meaning "twenty-nine" in Indian language] sect is founded on 29 principles. [Beedassy]

+ The only two-digit prime whose square is the sum of the squares of two consecutive two-digit numbers: (20^2+21^2). [Silva]

+ The prime p for which the harmonic series of odd primes (1/3 + 1/5 + 1/7 + 1/11 + ... + 1/p) first exceeds unity. [Beedassy]

+ The maximal number of regions into which a circle can be divided by 7 lines. [Green]

+ A prime p is the length of the hypotenuse of a Pythagorean triangle if (and only if) p = 4n+1. The first primes for which the area of these right triangle are equal are 29 and 37. (The area is the product of the first four primes.) [Caldwell]

+ The smallest prime whose sum of the digits and difference of the digits are primes. [Silva]

+ In the famous movie "Airport" (1970), a bomb-disabled airplane makes a dramatic landing in a snow storm on Runway 29. [Papoiu]

+ The next prime after 29 is the (2+9)th prime. [Silva]

+ The largest prime whose square (841) can be displayed on a 12-hour digital clock. [Fellows]

+ pi(29) = phi(29) - 2*9. [Firoozbakht]

+ The number of times The Beatles pronounce "yeah" in their 1963 hit "She Loves You" (... yeah, yeah, yeah). [Papoiu]

+ The number of emirps that can be displayed on a 24-hour digital clock. [Fellows]

+ The membership of the Mathematical Association of America is divided into 29 regional sections. [Green]

+ 29 is the smallest prime p such that sigma((p-1)/2)=sigma((p+1)/2). [Jevtic]

+ The smallest prime p such that when its digits are rendered in the base p, the result is prime. In this case 29 (base 29) = 67. [Green]

+ In the ddmmyyyy date format, there are 29 palindromic dates in 21st century, beginning: 10 February 2001 (10022001), 20 February 2002 (20022002), 1 February 2010 (01022010), 11 February 2011 (11022011), and 21 February 2012 (21022012). [Post]

+ There are 29 words in what Gauss wrote to Bessel on April 9, 1830: "we must in humility admit that if number is merely a product of our minds, space has a reality outside our minds whose laws we cannot a priori state." [Post]

+ Smallest prime number of different topologies (or quasi-orders or transitive digraphs) with n labeled elements (case n = 3). [Post]

+ All ZIP Codes in the state of South Carolina begin with the digits '29'. [Green]

+ The most meatballs eaten in one minute is 29 by Takeru Kobayashi (Japan) for Fuji TV in New York, USA, on March 8, 2010.

+ There were 29 boilers on the RMS Titanic. [Hill]

+ The smallest number whose digital root does not divide its sum of digits. [Beedassy]

+ The number of volumes in the eleventh edition of "The Encyclopaedia Britannica" (1910-1911). The phrase "prime curios" appears on page 182.

+ An estimated one in 29 Caucasian Americans have the Cystic fibrosis gene. [Tittle]

+ The number that came into that hostelry (Some nine and twenty in a company). From "The Canterbury Tales" by Geoffrey Chaucer. [Repasi]

+ 29 is the 10th prime number and it is preceded by 10/2=5 composites. There is no other Nth prime number that is preceded by N/2 composites. [Redwasp]


Version 3 of the QR Code (Quick Response Code) uses a
29-by-29 array of black squares on a white background to
encode messages. QR Codes are often scanned by smart
phones for the purpose of linking to a website whose URL
is encoded in the array of black and white squares. In this
case the encoded URL is,
the homepage of Prime Curios!.

+ The Bishnois community follows 29 principles.

+ There are 29 total syllables in the names of the twelve months of the year. [Chuck]

+ The largest prime p such that the product of first p odd numbers plus 2 is a non-titanic prime, i.e., 1*3*5*7*...*55*57+2. [Loungrides]

+ In the dd-mm-yyyy format, there are 29 Palindrome Days in the current century. (The last is 29-02-2092, a leap day!) [Inan]

(There are 30 curios for this number that have not yet been approved by an editor.)

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