What is the 108th prime number?
The 108th prime number is 593. The next prime is 599 (a gap of 6) and the one before is 587.
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 108th one is 593.
- 2
593 is prime because no prime up to ā593 ā 24.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 108th prime is close to 108 Ć ln(108) ā 506, and here it is 593.
- 4
593 has no twin: neither 591 nor 595 is prime.
Primes around the 108th
| Position | Prime | Gap from the previous |
|---|---|---|
| 105 | 571 | 2 |
| 106 | 577 | 6 |
| 107 | 587 | 10 |
| 108 | 593 | 6 |
| 109 | 599 | 6 |
| 110 | 601 | 2 |
| 111 | 607 | 6 |
Questions
What is the 108th prime number?
593.
Which prime number is 593?
593 is the 108th prime number.
What is the sum of the first 108 primes?
28,697.