What is the 2613th prime number?
The 2613th prime number is 23497. The next prime is 23509 (a gap of 12) and the one before is 23473.
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 2613th one is 23497.
- 2
23497 is prime because no prime up to ā23497 ā 153.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2613th prime is close to 2613 Ć ln(2613) ā 20560, and here it is 23497.
- 4
23497 has no twin: neither 23495 nor 23499 is prime.
Primes around the 2613th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2610 | 23447 | 16 |
| 2611 | 23459 | 12 |
| 2612 | 23473 | 14 |
| 2613 | 23497 | 24 |
| 2614 | 23509 | 12 |
| 2615 | 23531 | 22 |
| 2616 | 23537 | 6 |
Questions
What is the 2613th prime number?
23497.
Which prime number is 23497?
23497 is the 2613th prime number.
What is the sum of the first 2613 primes?
28,798,864.