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83 (number)

Number From Wikipedia, the free encyclopedia

83 (eighty-three) is the natural number following 82 and preceding 84.

Cardinaleighty-three
Ordinal83rd
(eighty-third)
Prime23rd
Quick facts ← 82 83 84 →, Cardinal ...
82 83 84
Cardinaleighty-three
Ordinal83rd
(eighty-third)
Factorizationprime
Prime23rd
Divisors1, 83
Greek numeralΠΓ´
Roman numeralLXXXIII, lxxxiii
Binary10100112
Ternary100023
Senary2156
Octal1238
Duodecimal6B12
Hexadecimal5316
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In mathematics

83 is a Sophie Germain prime,[1] a safe prime,[2] a Chen prime,[3] and an Eisenstein prime with no imaginary part and real part of the form 3n − 1. It is a cousin prime with 79 and a sexy prime with 89. Because 83 is the 23rd prime number and 23 is prime, 83 is a super-prime.

83 is the sum of three consecutive primes (23 + 29 + 31) and the sum of five consecutive primes (11 + 13 + 17 + 19 + 23).

There are 83 primes that are right-truncatable.[4]

83 is a highly cototient number.[5]

In other fields

The eighth letter of the alphabet is H and the third letter is C, thus 83 stands for "Heil Christ," a greeting used by organizations that consider themselves to be Christian. While not necessarily a hate symbol, it is often used by hate organizations.[6] The Anti-Defamation League classifies 83 as a hate symbol.[7]

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