Twenty-nine
Twenty-nine | |
---|---|
29 | |
presentation | |
Roman | XXIX |
dual | 1 1101 |
Octal | 35 |
Duodecimal | 25th |
Hexadecimal | 1D |
Morse code | · · - - - - - - - · |
Mathematical properties | |
sign | positive |
parity | odd |
Factorization | Prime number |
Divider | 1, 29 |
The twenty-nine (29) is the natural number between twenty-eight and thirty . It is odd and a prime number .
mathematics
29 is the tenth prime number. It forms a prime twin along with thirty-one . Twenty-nine is also the sixth Sophie Germain prime . It is the smallest prime number that is the sum of three consecutive squares, 2 2 + 3 2 + 4 2 . It's a Lucas prime , a Pell prime , and a Tetranacci number . It is an Eisenstein prime number without an imaginary part and with a real part of the form 3n - 1. 29 is also the tenth supersingular prime number .
None of the first 29 natural numbers has more than two different prime factors. This is the longest sequence of consecutive numbers with this property.
29 is a Markoff number , element of one of the solutions of x ² + y ² + z ² = 3 xyz : {2, 5, 29}, {2, 29, 169}, {5, 29, 433}, {29 , 169, 14701} etc.
29 is the next higher Perrin number after 12, 17 and 22 .
Science and astronomy
- 29 is the atomic number of copper .
- The lunar month lasts about 29.5 days.
- The Saturn year lasts about 29.5 years.
- The month of February has 29 days in leap years .
See also
- The year 29
Web links
Individual evidence
- ↑ Sloane's A005384: Sophie Germain primes . OEIS Foundation.
- ↑ Sloane's A005479: Prime Lucas numbers . OEIS Foundation.
- ↑ Sloane's A086383: Primes found among the denominator of the continued fraction rational approximations to sqrt (2) . OEIS Foundation.
- ↑ Sloane's A000078: Tetranacci numbers . OEIS Foundation.
- ↑ Sloane's A002267: The 15 supersingular primes . OEIS Foundation.
- ↑ Sloane's A001608: sequence Perrin . OEIS Foundation.