What is the 3113th prime number?
The 3113th prime number is 28603. The next prime is 28607 (a gap of 4) and the one before is 28597.
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 3113th one is 28603.
- 2
28603 is prime because no prime up to ā28603 ā 169.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3113th prime is close to 3113 Ć ln(3113) ā 25039, and here it is 28603.
- 4
28603 has no twin: neither 28601 nor 28605 is prime.
Primes around the 3113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3110 | 28579 | 6 |
| 3111 | 28591 | 12 |
| 3112 | 28597 | 6 |
| 3113 | 28603 | 6 |
| 3114 | 28607 | 4 |
| 3115 | 28619 | 12 |
| 3116 | 28621 | 2 |
Questions
What is the 3113th prime number?
28603.
Which prime number is 28603?
28603 is the 3113th prime number.
What is the sum of the first 3113 primes?
41,813,504.