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91 number - In mathematics | | 91 number - In mathematics: Encyclopedia II - 91 number - In mathematics | | Ninety-one is a triangular number and a hexagonal number, one of the few such numbers to also be a centered hexagonal number, and it is also a centered nonagonal number and a centered cube number. It is the sum of the squares of the first six integers.
It is also the lowest natural number which looks prime but isn't, because neither of its factors 7 and 13 have simple divisibility tests.
It is the smallest positive integer expressible as a sum of two cubes in two different ways if negative roots are allowed: 91 = 63+(-5)3 = 43 ...
See also:91 number, 91 number - In mathematics, 91 number - In science, 91 number - In other fields | | | 91 number, 91 number - In mathematics, 91 number - In other fields, 91 number - In science | | |
| | | 91 number: Encyclopedia II - 91 number - In mathematics
91 number - In mathematics
Ninety-one is a triangular number and a hexagonal number, one of the few such numbers to also be a centered hexagonal number, and it is also a centered nonagonal number and a centered cube number. It is the sum of the squares of the first six integers.
It is also the lowest natural number which looks prime but isn't, because neither of its factors 7 and 13 have simple divisibility tests.
It is the smallest positive integer expressible as a sum of two cubes in two different ways if negative roots are allowed: 91 = 63+(-5)3 = 43+33. (See 1729 for more details).
It is also the smallest pseudoprime satisfying the congruence 3n = 3 mod n.
Other related archives>>, <<, 0, 10, 1175, 1459, 159 BC, 161, 1729, 1991, 20, 30, 40, 50, 60, 70, 80, 90, 91, 91 BC, 92, 93, 94, 95, 96, 97, 98, 99, American, Andromeda, August 6, Coma Berenices, Connecticut, ISBN, India, Integers, Interstate 91, July 15, List of numbers, M91, May 26, Messier object, New General Catalogue, October 16, Saros, Sweden, U.S. dollar, Vermont, astronomy, atomic number, centered cube number, centered hexagonal number, centered nonagonal number, constellation, divisibility, hexagonal number, integers, lunar eclipse, magnitude, natural number, protactinium, pseudoprime, solar eclipse, spiral galaxy, star, triangular number
 Adapted from the Wikipedia article "In mathematics", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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