What is the 3108th prime number?
The 3108th prime number is 28571. The next prime is 28573 (a gap of 2) and the one before is 28559.
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 3108th one is 28571.
- 2
28571 is prime because no prime up to ā28571 ā 169.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3108th prime is close to 3108 Ć ln(3108) ā 24994, and here it is 28571.
- 4
28571 is a twin prime: 28571 and 28573 are both prime.
Primes around the 3108th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3105 | 28547 | 6 |
| 3106 | 28549 | 2 |
| 3107 | 28559 | 10 |
| 3108 | 28571 | 12 |
| 3109 | 28573 | 2 |
| 3110 | 28579 | 6 |
| 3111 | 28591 | 12 |
Questions
What is the 3108th prime number?
28571.
Which prime number is 28571?
28571 is the 3108th prime number.
What is the sum of the first 3108 primes?
41,670,561.