What is the 29th prime number?
The 29th prime number is 109. The next prime is 113 (a gap of 4) and the one before is 107.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 29th one is 109.
- 2
109 is prime because no prime up to ā109 ā 10.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 29th prime is close to 29 Ć ln(29) ā 98, and here it is 109.
- 4
109 is a twin prime: 107 and 109 are both prime.
Primes around the 29th
| Position | Prime | Gap from the previous |
|---|---|---|
| 26 | 101 | 4 |
| 27 | 103 | 2 |
| 28 | 107 | 4 |
| 29 | 109 | 2 |
| 30 | 113 | 4 |
| 31 | 127 | 14 |
| 32 | 131 | 4 |
Questions
What is the 29th prime number?
109.
Which prime number is 109?
109 is the 29th prime number.
What is the sum of the first 29 primes?
1,480.