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17 (number)
Cardinal seventeen
Ordinal 17th
(seventeenth)
Numeral system septendecimal
Factorization prime
Prime 7th
Divisors 1, 17
Greek numeral ฮฮยด
Roman numeral XVII
Binary 100012
Ternary 1223
Octal 218
Duodecimal 1512
Hexadecimal 1116
17 (seventeen) is the natural number following 16 and preceding 18. It is a prime number.
Seventeen is the sum of the first four prime numbers.
In mathematics
Seventeen is the seventh prime number. The next prime is nineteen, with which it forms a twin prime.
Seventeen is a permutable prime and a supersingular prime.
Seventeen is the third Fermat prime, as it is of the form 22n + 1, specifically with n = 2.[1] Since 17 is a Fermat prime, regular heptadecagons can be constructed with a compass and unmarked ruler. This was proven by Carl Friedrich Gauss[2] and ultimately led him to choose mathematics over philology for his studies.[3]
There are exactly 17 two-dimensional space (plane symmetry) groups. These are sometimes called wallpaper groups, as they represent the seventeen possible symmetry types that can be used for wallpaper.
Like 41, the number 17 is a prime that yields primes in the polynomial n2 + n + p, for all positive n < p โ 1.
Either 16 or 18 unit squares can be formed into rectangles with perimeter equal to the area; and there are no other natural numbers with this property. The Platonists regarded this as a sign of their peculiar propriety; and Plutarch notes it when writing that the Pythagoreans "utterly abominate" 17, which "bars them off from each other and disjoins them".[4]
Seventeen is the minimum possible number of givens for a sudoku puzzle with a unique solution. This was long conjectured, and was proved in 2012โ14.[5][6]
There are 17 orthogonal curvilinear coordinate systems (to within a conformal symmetry) in which the three-variable Laplace equation can be solved using the separation of variables technique.
Seventeen is the sixth Mersenne prime exponent, yielding 131071.
Seventeen is the first number that can be written as the sum of a positive cube and a positive square in two different ways; that is, the smallest n such that x3 + y2 = n has two different solutions for x and y positive integers ((1,4) or (2,3)). The next such number is 65.
Seventeen is the minimum number of vertices on a graph such that, if the edges are coloured with three different colours, there is bound to be a monochromatic triangle. (See Ramsey's theorem.)
Seventeen is the only prime number which is the sum of four consecutive primes (2,3,5,7). Any other four consecutive primes summed would always produce an even number, thereby divisible by 2 and so not prime.
The sequence of residues (mod n) of a googol and googolplex, for n = 1, 2, 3, โฆ, agree up until n = 17.
In science
The atomic number of chlorine.
The Brodmann area defining the primary visual processing area of mammalian brains.
Group 17 of the periodic table is called the halogens.
The number of elementary particles in the Standard Model of physics.[7]
In languages
Grammar
In Catalan, 17 is the first compound number (disset). The numbers 11 (onze) through 16 (setze) have their own names.
In French, 17 is the first compound number (dix-sept). The numbers 11 (onze) through 16 (seize) have their own names.
In Italian, 17 is also the first compound number (diciassette), whereas sixteen is sedici.
https://en.wikipedia.org/wiki/17_(number)
The number of guns in a 17-gun salute to U.S. Army, Air Force and Marine Corps Generals, and Navy and Coast Guard admirals.
During World War II, the four-engined heavy bomber as flown by the USAAF and other Allies and known as "The Flying Fortress", was also known as the B-17
The fear of the number 17 is called 'heptadecaphobia' or 'heptakaidekaphobia'
Halogen's, Haiku, Cicada's and shit were flying everywhere, Children!
Anons were certain of only one thing in those troubling times.
The knowledge that somewhere, out there, lurking in the darkness, The Vengeful One, Q, lurkedโฆ