Fakta tentang Bilangan 17
17 is the smallest Trotter prime, i.e., a prime of form 10 x (n2) + 7, where n = 1, 2, 3 …
The Pythagoreans were horrified by the number 17.
17 -1 expressed as a decimal contains a repeating sequence of 17-1 digits.
17 is the only known prime which is equal to the sum of digits of its cube (173 = 4913, and 4 + 9 + 1 + 3 = 17). [Gupta]
The shortest form of Japanese poetry (known as Haiku) contains exactly 17 syllables. [McCranie]
4n – 17 is prime for n = 8 to 12. [Kulsha]
The only prime which is the average of two consecutive Fibonacci numbers. [Honaker]
In 1798 (17, 9 + 8 = 17), Gauss discovered the construction of a regular 17-gon by ruler and compass. [Gevisier]
The Mars Odyssey Orbiter began its journey from Launchpad 17A.
It takes 17 muscles to produce a smile.
“17” was the original title of the Beatle’s song “I Saw Her Standing There.” [McCranie]
The smallest odd number which cannot be represented as the sum of a prime and twice a square. [Stern]
“17-jewel watches” have hard gems at bearing points of friction.
Frank Bunker Gibreth, the founder of modern motion study technique, concluded that the fundamental motions of the hands of a worker consists of 17 divisions.
Theodorus of Cyrene proved that the square root of 17 was irrational.
The Wall Street Journal once had a special 17-week introductory offer for new subscribers within the continental United States.
Pluto’s orbit around the sun is inclined ~ 17° to the plane of the solar system. [Hartmann]
(17 x 29251)2 + 1 is a prime of shape a2 + 1. [Keller]
17 is the smallest number (non-negative integer) that is written in French as a compound word: dix-sept. [Lefèvre]
The least integer such that the sum of its digits in every base B = 2, 3, 4, 5, 6, 7, 8 is prime. [Crespi de Valldaura]
The smallest prime, p, such that the product of its digits equal (p).
In 1951 Ferrier found that (2148 + 1)/17 is prime.
The Neuschwanstein Castle took 17 years to build. [Denison]
The least prime that is the sum of two fourth powers, 14 + 24. [Crespi de Valldaura]
The smallest Automorphic prime: a prime p such that p is the kth prime and p ends in k. [Russo & Rivera]
The world’s largest caldera (or volcano crater) is that of Mt. Aso in Kyushu, Japan, which measures 17 miles north to south and 71 miles in circumference. Note that 17 and 71 are reversible primes (emirps).
17 = 23 + 32. [Kulsha]
The 17-year locust has the longest cycle of development of any known insect.
The smallest prime of the form p2 + q3, where p and q are prime. [Russo]
17 x 65359477124183 = 1111111111111111.
In any set of k < 17 consecutive integers there is always one which is relatively prime to all the others. [Pillai]
The Parthenon is 17 columns long.
172 can be expressed as the sum of 1, 2, 3, 4, 5, 6, 7, 8 distinct squares. [Crespi de Valldaura]
There are 17 different ways that a wallpaper design can repeat.
2n – 17 is prime for n = 6, 8, 22, 44, 414, 444, 808 and 848, not to mention the non-palindromic values of n. [Kulsha]
The smallest two-digit prime of the form F(i)3 + F(j)4, where F(n) are Fibonacci numbers. [Russo]
17 is the only prime of the form pq + qp, where p and q are prime. [Kulsha]
17 + 21, 17 + 21 + 22, 17 + 21 + 22 + 23, 17 + 21 + 22 + 23 + 24 and 17 + 21 + 22 + 23 + 24 + 25 are primes. [Luhn]
Stegosaurus had 17 bony plates on its back.
Friday 17th is unlucky in Italy. This is thought to derive from Roman tomb stones which often included the word VIXI (I lived) as part of the narrative (VI=6 + XI=11 giving 17). [Bassano]
Using A = 1, B = 2,…, Z = 26, 17 is the smallest non-negative number whose numerical value of its word form is also a prime (109). [Trotter]
17 = 34 – 43. [Murthy]
17 is the middle term of the longest arithmetic progression of primes with a common difference of 6. [Murthy]
King Tutankhamen was wrapped in 17 cloths.
Moderately active people can estimate their daily calorie requirement by using the following formula: Weight (in lbs.) x 17. [Pierson]
Former President Bill Clinton’s dog Buddy was killed by a vehicle driven by a 17-year-old girl.
“At Seventeen” was a hit song for Janis Ian in 1975. (It reached No. 3 on the Billboard singles chart.) [Litman]
“The prime number 17 accommodates all the positive-negative, quanta-wave primes up to and including the number 18, which in turn accommodates the two nines of the invisible twoness of all systems.” (Quoted from from Section 1238.43 of Synergetics by R. Buckminster Fuller.) [Croll]
The smallest prime whose sum of the digits is a cube. [Murthy]
Marin Mersenne’s vast correspondence (Correspondence du P. Marin Mersenne, religieux Minime by Tannery and Waard) fills a total of 17 volumes. [Caldwell]
The first four digits of 2(17+17) is 1717. [Wu]
(17^17+1)/(17+1) is prime. [Poo Sung]
There are 4 ways to express 17 as p+2q; p, q primes. [Russo]
17 is the third prime which is the sum of consecutive primes (2+3+5+7). [Priebel]
The smallest Quartan prime: p = x^4 + y^4. [Russo]
The smallest prime formed from concatenation of Happy numbers. [Gupta]
Behaviorist Konrad Lorenz observed that the wild goose will eventually accept as its parent whatever creature it sees within its first 17 hours of life.
(2^17-1)/(2-1) and (2^17+1)/(2+1) are both primes. [Dobb]
No odd Fibonacci number is divisible by 17. [Honsberger]
17 is the smallest prime sandwiched between two non-squarefree numbers. [Gupta]
17 and Apple. There are 17 sets of chromosomes in the apple. Eve was traditionally 17 years of age when she fed Adam the apple. There were 17 different PowerMacs made by Apple computer. [Faulds]
It would take over 17 Earths to equal the mass of Neptune. [Headlam]
17 is the only odd prime p such that p + sod(p) and p – sod(p) are square numbers (52 and 32, respectively). [Rivera]
17 is the smallest prime for which the decimal expansion of the reciprocal 1/17 contains all 10 digits. [Hartley]
Schnizel showed that Goldbach’s conjecture is equivalent to saying that every integer greater than 17 is the sum of three distinct primes.
There are exactly 17 ways to express 17 as the sum of 1 or more primes. 17 is the only integer which is equal to the number of prime partitions of itself. [Rupinski]
Seventeen or Bust is a distributed attack on the Sierpinski problem. [Mendes]
Gauss showed that constructing a 17-sided polygon is tantamount to solving the equation x16 + x15 + … + x + 1 = 0. [Stewart]
In the Aardman film “Chicken Run,” the chickens did much of their plotting in Hut 17. [Hartley]
17 steps lead up to Sherlock Holmes’ residence at 221B Baker Street. Note also that 17221 and 22117, respectively, have the prime factorizations 17 * 1013 and 17 * 1301. [La Haye]
“Stalag 17” is a classic Prisoner Of War film. [Hartley]
A cow’s saliva increases by 17% while grazing. [Patterson]
For any 510510 consecutive integers, 5760 will have 17 as a lowest prime factor. [Schuler]
The reversal of 217 is prime. [Patterson]
17 Lectures on Fermat Numbers: From Number Theory to Geometry was written in honor of the 400th anniversary of the birth of Pierre de Fermat (1601-1665). Note that 17 is a Fermat prime.
According to hacker’s lore, 17 is described at MIT as ‘the least random number.’
The smallest Automorphic prime, i.e., a prime p such that p is the kth prime and p ends in k. [Russo and Rivera]
The longest word of prime length in the Bible is Chushanrishathaim, which has 17 letters. [Opao]
!17 – 1 is prime. Note that !17 represents subfactorial 17. [Gupta]
17 is the largest number less than a thousand such that the sum of its factorial and primorial plus and minus one are primes. I.e., 17!+17#-1 and 17!+17#+1 are primes. [Opao]
The middle verse in the New Testament is Acts 17:17.
Vietnam was divided along the 17th parallel of latitude.
The okapi (Okapia johnstoni) is the only mammal that can clear its own ears with its tounge, which can grow to 17 inches in length. [Patterson]
A prime formed from the leading 2 decimal digits of sqrt(3). [Carmody]
tan(cos(sin(x))) = .017… for any x, when this expression is computed in degree mode. [Dillon]
The latin name of the 17-year locust (Cicada Septemdecim) has 17 letters. [Dillon]
March 9, 2004, Senator Pat Roberts, Chairman of the Intelligence Committee, asks George Tenet, Director of the CIA, “Can you splinter a shingle 17 ways.” (Paraphrased) [Haga]
The French mathematician, Jean-le-Rond d’Alembert, was born on May 17, 1717. [Marr]
17 is the speed limit of the Turner Turnpike offramp in Sapulpa, Oklahoma. [Carpenter]
Calculate (in your head) the sum of digits of 17 cubed.
The smallest prime that is the average of the squares of two primes (3 and 5). [Gallardo]
17 is (1*7)th prime. Note that 17 is the first such prime. [Firoozbakht]
Any number that is divisible by 17 will have this property: multiply the last digit by 5, then subtract that number from the remaining digits and the resulting number will be divisible by 17. E.g., 158916 is divisible by 17 because all of following results are divisible by 17:(15891 – 30 = 15861); (1586 – 5 = 1581); (158 – 5 = 153); (15 – 15 = 0). [Beedle]
The sum of the first 17 composite numbers is prime. [Patterson]
There are 17 distinct sets of regular polygons that can be packed around a point (e.g., 4 squares, 2 hexagons and 2 triangles, etc). [Astle]
17 is the smallest prime equal to the arithmetic mean of two squares. [Teofilatto]
There were 17 episodes of the classic BBC TV series “The Prisoner.” [McCranie]
17 is the smallest prime of form x^2 + y^2 + z, where x, y and z are three succesive positive integers (2^2 + 3^2 + 4 = 17). [Teofilatto]
17 is the only positive Genocchi number. [Patterson]
17 was called by the Pythagoreans – opposition, obstruction, and evil, and the day the Devil triumphed over God.
FBI protects movie/film copyrights under US Title 17 section 501 and 506 sum of the digits of both sections is 5+0+1 + 5+0+6 = 17. Note FBI would equal 17 if A=1, B=2 … Z=26 then F=6, B=2, I=9, (6+2+9=17). [Gregor] I found this one personally funny to me because the last 3 digits of my proper name is CIA
There are 17 words containing P, R, I, M, E in this order: PRIME, PRIMEr, PRIMatE, PaRt-tIME, PRIMEval, PRIMnEss, PRIMrosE, PeRIMEter, PRIMitivE, exPeRIMEnt, PaRlIaMEnt, PilgRIMagE, sPRIngtiME, aPpRoxIMatE, PRedIcaMEnt, PRIMitivEly, suPeRIMposE. [Poo Sung]
17 = 4 * 4 + 4 / 4 is the smallest primes made by using four 4’s and the basic operations, ( , ), +, -, *, and /. [Poo Sung]
St. Patrick, the patron saint of Ireland, is believed to have died on March 17. [Dowdy]
17 = 2+3+5+7 is the smallest emirp among sums of consecutive primes. Note that the reverse 71 = 19+23+29 is also such a prime. [Poo Sung]
The Melanesian people have a Y chromosome marker, H17, that is not found in Polynesians. [Brookfield]
The first program to run on a stored-program computer consisted of 17 instructions. It was to find the largest factor if 2^30-1. [McCranie]
1/(sqrt(17) – 4) = sqrt(17) + 4 [Moody]
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