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16,807
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16807
16807 is the natural number following 16806 and preceding 16808.
In mathematics
As a number of the form (16807 = 75), it can be applied in Cayley's formula to count the number of trees with seven labeled nodes.A000272 Number of trees on n labeled nodes: n^(n-2)Graphs and Applications: An Introductory Approach Joan M. Aldous Robin J. Wilson Robin Wilson (mathematician) Springer Science & Business Media 2003 9781852332594 164–165
The powers of seven, including this one, feature in problem 79 from the Rhind Mathematical Papyrus, from ancient Egypt circa 1650 BC. It resembles the modern English riddle As I was going to St Ives, which compounds powers of seven up to kittens, but reaching one more step, hekat (an ancient Egyptian unit of measurement for grain).http://pup.princeton.edu/books/maor/sidebar_a.pdf 11–14 (in PDF, 1–4) Trigonometric Delights Recreational Mathematics in Ancient Egypt Maor Eli Princeton University Press 2002 1988 2009-04-19 978-0-691-09541-7 dead https://web.archive.org/web/20051224203814/http://pup.princeton.edu/books/maor/sidebar_a.pdf 2005-12-24 Another puzzle of the same type, with 16807 knives, occurs in Fibonacci's Liber Abaci.https://faculty.etsu.edu/gardnerr/3040/Notes-Eves6/Eves6-2-10.pdf 2.10. Egypt: A Curious Problem in the Rhind Papyrus History of Mathematics before 1600 - Class Notes Bob Gardner East Tennessee State University August 13, 2023 2025-12-13
In other fields
Several authors have suggested a Lehmer random number generator:Lewis, P.A.W. Goodman A.S. Miller J.M. amp A pseudo-random number generator for the system/360 IBM Systems Journal 1969 8 2 136–143 10.1147/sj.82.0136 Schrage Linus
10.1145/355826.355828
2
ACM Transactions on Mathematical Software
132–138
A More Portable Fortran Random Number Generator
5
1979 14090729
Park, S.K. Miller, K.W. Random Number Generators: Good Ones Are Hard To Find Communications of the ACM 1988 31 10 1192–1201 http://www.firstpr.com.au/dsp/rand31/p1192-park.pdf 10.1145/63039.63042 207575300
References
External links
16807 : facts & properties
16807
10