193 (number)

193 prime 44th 1, 193 193 (one hundred [and] ninety-three) is the natural number following 192 and preceding 194. In mathematics 193 is the number of compositions of 14 into distinct parts.A032020 Number of compositions (ordered partitions) of n into distinct parts 2022-05-24 In decimal, it is the seventeenth full repetend prime, or long prime.A001913 Full reptend primes: primes with primitive root 10. 2023-03-02 It is the only odd prime known for which 2 is not a primitive root of .E. Friedman, "What's Special About This Number https://web.archive.org/web/20180223062027/http://www2.stetson.edu/~efriedma/numbers.html 2018-02-23 " Accessed 2 January 2006 and again 15 August 2007. It is the thirteenth Pierpont prime, which implies that a regular 193-gon can be constructed using a compass, straightedge, and angle trisector.A005109 Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1 It is part of the fourteenth pair of twin primes ,A006512 Greater of twin primes. 2023-03-02 the seventh trio of prime triplets ,A022005 Initial members of prime triples (p, p+4, p+6). 2023-03-02 and the fourth set of prime quadruplets .A136162 List of prime quadruplets {p, p+2, p+6, p+8}. 2023-03-02 Aside from itself, the friendly giant (the largest sporadic group) holds a total of 193 conjugacy classes. ATLAS: Monster group M https://brauer.maths.qmul.ac.uk/Atlas/v3/spor/M/ ATLAS of Finite Group Representations 1999 Wilson R.A. Robert Arnott Wilson Parker R.A. Richard A. Parker Nickerson S.J. Bray J.N. It also holds at least 44 maximal subgroups aside from the double cover of (the forty-fourth prime number is 193). Is the Suzuki group Sz(8) a subgroup of the Monster? Wilson Robert A. Bulletin of the London Mathematical Society 2016 48 2 356 https://qmro.qmul.ac.uk/xmlui/bitstream/123456789/12414/1/Wilson%20Is%20Sz%20%288%29%20a%20subgroup%202016%20Accepted.pdf 10.1112/blms/bdw012 3483073 123219818 Dietrich Heiko Lee Melissa Popiel Tomasz The maximal subgroups of the Monster 1–11 May 2023 2304.14646 258676651 193 is also the eighth numerator of convergents to Euler's number; correct to three decimal places: A007676 Numerators of convergents to e. 2023-03-02 The denominator is 71, which is the largest supersingular prime that uniquely divides the order of the friendly giant.A007677 Denominators of convergents to e. 2023-03-02 A002267 The 15 supersingular primes: primes dividing order of Monster simple group. 2023-03-02 Luis J. Boya Introduction to Sporadic Groups Symmetry, Integrability and Geometry: Methods and Applications 13 2011-01-16 7 10.3842/SIGMA.2011.009 1101.3055 2011SIGMA...7..009B 16584404 In politics 193 is also the current amount of member states that in the United Nations. 2017-01-01 About Us https://www.un.org/en/about-us/ 2026-08-28 United Nations See also 193 References 1 Category:Integers Category: Prime numbers