29 is a prime number from 1-100. 29 has 2 factors, 1 and 29. It is an additive prime, meaning the sum of its digits is equal to a prime number: 2 + 9 = 11. It is the tenth prime number, and the tenth prime number from 1-100. The primorial of 19 is 6,469,693,230.
Proofs[]
— 29 is divisible by 1.
— 29 is not divisible by 2-28.
— 29 is divisible by 29.
- Therefore, 29 has 2 factors and is prime.
As an Exponent of Mersenne Number[]
229 - 1, which is the number 536,870,911, can be factored into 233 x 1,103 x 2,089, and therefore, it is a composite number.
Relationship with other odd numbers[]
The numbers before[]
- 23 is the previous prime number.
- The difference between 29 and 23 is 6. Therefore, they are sexy primes.
- 25 is the fourth odd composite number and the fourth non-trivial square number: 52 = 25.
- 27 is a cube number: 33 = 27.
The numbers after[]
- The next odd number, 31, is a prime number.
- There are no odd numbers between 29 and 31. As a result, they are twin primes.
- 33 is a composite number. It can be factored into 3 x 11.
- 35 is a composite number. It can be factored into 5 x 7.
Trivia[]
- 29 is part of the only sexy prime quintuplet (5, 11, 17, 23, 29) since all multiples of 5 (except itself) are not prime.
- 29 is the smallest twin prime number whose word form contains the ordered letters of the word “twin:" twenty-nine.
- 29 is the smallest positive integer that cannot be made from the numbers 1, 2, 3, and 4 using each digit exactly once and using only addition, subtraction, multiplication, and division.
- 29 is the sum of three consecutive square numbers: 22 + 32 + 42 = 4 + 9 + 16 = 29
- 29 is the atomic number of copper.