59

59
Basic Information
Cardinal Number	fifty-nine
Ordinal Number	fifty ninth
Roman Numeral	LIX
Greek Numeral	ΝΘ´
Factorization	59
Standard Form	5.9 × 101
Different Representations
Binary Form	1110112
Ternary Form	20123
Quaternary Form	3234
Quinary Form	2145
Senary Form	1356
Septenary Form	1137
Octal Form	738
Nonary Form	659
Undecimal Form	5411
Duodecimal Form	4B12
Tridecimal Form	4713
Quattuordecimal Form	4314
Quindecimal Form	3E15
Hexadecimal Form	3B16
Septendecimal Form	3817
Octodecimal Form	3518
Novemdecimal Form	3219
Vigesimal Form	2J20
Unvigesimal Form	2H21
Duovigesimal Form	2F22
Trevigesimal Form	2D23
Quattuorvigesimal Form	2B24
Quinvigesimal Form	2925
Hexavigesimal Form	2726
Septenvigesimal Form	2527
Octovigesimal Form	2328
Novemvigesimal Form	2129
Trigesimal Form	1T30
Untrigesimal Form	1S31
Duotrigesimal Form	1R32
Tretrigesimal Form	1Q33
Quattuortrigesimal Form	1P34
Quintrigesimal Form	1O35
Hexatrigesimal Form	1N36
Previous	53
Current	59
Next	61

59 is a prime number from 1-100. 59 has 2 factors, 1 and 59. It is the seventeenth prime number, and the seventeenth prime number from 1-100.

Proofs

• — 59 is divisible by 1.

• — 59 is not divisible by 2-58.

• — 59 is divisible by 59.

Therefore, 59 has 2 factors and is prime.

As an Exponent of Mersenne Number

2⁵⁹ - 1, which is the number 576,460,752,303,423,487, is divisible by 179,951, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

• 53 is the previous prime number.
  • The difference between 59 and 53 is 6. Therefore, they are sexy primes.
• 55 is a composite number. Its prime factorization is 5 * 11.
• 57, the previous odd number, is a composite number. Its prime factorization is 3 * 19.

The numbers after

• 61 is the next odd number, as well as the next prime number.
  • The difference between 61 and 59 is 2. Therefore, they are twin primes.
• 63 is a composite number. Its prime factorization is 3² * 7.
• 65 is a composite number. Its prime factorization is 5 * 13.
• 67 is the next prime number.

In science

• 59 is the atomic number of praseodymium.

Trivia

• 59 is the 17th prime number. Since its position in the sequence of all primes is 17, 59 is a super-prime, as well as the 7th super-prime. Its position in the sequence of all super-primes is 7, so 59 would be a super-super-prime.
• 59 is the number of stellations in the regular icosahedron.
• The number of Super Bowls that have been played in the NFL.

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Prime Numbers 1-1,000