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83 (number)
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| Cardinal | eighty-three | |||
| Ordinal | 83rd (eighty-third) | |||
| Factorization | prime | |||
| Prime | 23rd | |||
| Divisors | 1, 83 | |||
| Greek numeral | ΠΓ´ | |||
| Roman numeral | LXXXIII, lxxxiii | |||
| Binary | 10100112 | |||
| Ternary | 100023 | |||
| Senary | 2156 | |||
| Octal | 1238 | |||
| Duodecimal | 6B12 | |||
| Hexadecimal | 5316 | |||
83 (eighty-three) is the natural number following 82 and preceding 84.
In mathematics
[edit]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
[edit]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]
References
[edit]- ^ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A109611 : Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ Sloane, N. J. A. (ed.). "Sequence A024770 (Right-truncatable primes: every prefix is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Hate Number Symbols: 83 - From A Visual Database of Extremist Symbols, Logos and Tattoos". Archived from the original on 2007-09-11. Retrieved 2007-09-24.
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