What is the 3111th prime number?
The 3111th prime number is 28591. The next prime is 28597 (a gap of 6) and the one before is 28579.
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 3111th one is 28591.
- 2
28591 is prime because no prime up to ā28591 ā 169.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3111th prime is close to 3111 Ć ln(3111) ā 25021, and here it is 28591.
- 4
28591 has no twin: neither 28589 nor 28593 is prime.
Primes around the 3111th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3108 | 28571 | 12 |
| 3109 | 28573 | 2 |
| 3110 | 28579 | 6 |
| 3111 | 28591 | 12 |
| 3112 | 28597 | 6 |
| 3113 | 28603 | 6 |
| 3114 | 28607 | 4 |
Questions
What is the 3111th prime number?
28591.
Which prime number is 28591?
28591 is the 3111th prime number.
What is the sum of the first 3111 primes?
41,756,304.