What is the 109th prime number?
The 109th prime number is 599. The next prime is 601 (a gap of 2) and the one before is 593.
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 109th one is 599.
- 2
599 is prime because no prime up to ā599 ā 24.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 109th prime is close to 109 Ć ln(109) ā 511, and here it is 599.
- 4
599 is a twin prime: 599 and 601 are both prime.
Primes around the 109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 106 | 577 | 6 |
| 107 | 587 | 10 |
| 108 | 593 | 6 |
| 109 | 599 | 6 |
| 110 | 601 | 2 |
| 111 | 607 | 6 |
| 112 | 613 | 6 |
Questions
What is the 109th prime number?
599.
Which prime number is 599?
599 is the 109th prime number.
What is the sum of the first 109 primes?
29,296.