83

83
Basic Information
Cardinal Number	eighty-three
Ordinal Number	eighty third
Roman Numeral	LXXXIII
Greek Numeral	ΠΓ´
Factorization	83
Standard Form	8.3 × 101
Different Representations
Binary Form	10100112
Ternary Form	100023
Quaternary Form	11034
Quinary Form	3135
Senary Form	2156
Septenary Form	1467
Octal Form	1238
Nonary Form	1029
Undecimal Form	7611
Duodecimal Form	6B12
Tridecimal Form	6513
Quattuordecimal Form	5D14
Quindecimal Form	5815
Hexadecimal Form	5316
Septendecimal Form	4F17
Octodecimal Form	4B18
Novemdecimal Form	4719
Vigesimal Form	4320
Unvigesimal Form	3K21
Duovigesimal Form	3H22
Trevigesimal Form	3E23
Quattuorvigesimal Form	3B24
Quinvigesimal Form	3825
Hexavigesimal Form	3526
Septenvigesimal Form	3227
Octovigesimal Form	2R28
Novemvigesimal Form	2P29
Trigesimal Form	2N30
Untrigesimal Form	2L31
Duotrigesimal Form	2J32
Tretrigesimal Form	2H33
Quattuortrigesimal Form	2F34
Quintrigesimal Form	2D35
Hexatrigesimal Form	2B36
Previous	79
Current	83
Next	89

83 is a prime number from 1-100. 83 has 2 factors, 1 and 83. It is the 23rd prime number and the 23rd prime number from 1-100. Furthermore, it is the largest prime number spelled without the letter n; equivalently, the largest nban prime.

Proofs

• — 83 is divisible by 1.

• — 83 is not divisible by 2-82.

• — 83 is divisible by 83.

Therefore, 83 has two factors and is prime.

As an Exponent of Mersenne Number

2⁸³ - 1 is divisible by 167, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

• 77 is a composite number; its prime factorization is 7 * 11.
• 79 is the previous prime number.
  • The difference between 83 and 79 is 4. Therefore, they are cousin primes.
• 81 is a composite number; its prime factorization is 3⁴.

The numbers after

• 85 is the next odd number. It is a composite number; its prime factorization is 5 * 17.
• 87 is also a composite number; its prime factorization is 3 * 29.
• 89 is the next prime number.
  • The difference between 89 and 83 is 6. Therefore, they are sexy primes.

In science

• 83 is the atomic number of bismuth.

Trivia

• 83 is the sum of three consecutive primes (23 + 29 + 31) as well as the sum of five consecutive primes (11 + 13 + 17 + 19 + 23).
• 83 is a super-prime, since its position in the set of all primes (23) is also prime.
• 83 is a Sophie Germain prime, since $83\times 2+1=167$ is also prime.
  • 83 is also a safe prime, since ${\frac {83-1}{2}}=41$ is also prime.
• 83 is the amount of right-truncatable primes.

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Prime Numbers 1-1,000