What is the 3115th prime number?
The 3115th prime number is 28619. The next prime is 28621 (a gap of 2) and the one before is 28607.
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 3115th one is 28619.
- 2
28619 is prime because no prime up to ā28619 ā 169.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3115th prime is close to 3115 Ć ln(3115) ā 25057, and here it is 28619.
- 4
28619 is a twin prime: 28619 and 28621 are both prime.
Primes around the 3115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3112 | 28597 | 6 |
| 3113 | 28603 | 6 |
| 3114 | 28607 | 4 |
| 3115 | 28619 | 12 |
| 3116 | 28621 | 2 |
| 3117 | 28627 | 6 |
| 3118 | 28631 | 4 |
Questions
What is the 3115th prime number?
28619.
Which prime number is 28619?
28619 is the 3115th prime number.
What is the sum of the first 3115 primes?
41,870,730.