What is the 2537th prime number?
The 2537th prime number is 22709. The next prime is 22717 (a gap of 8) and the one before is 22699.
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 2537th one is 22709.
- 2
22709 is prime because no prime up to ā22709 ā 150.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2537th prime is close to 2537 Ć ln(2537) ā 19887, and here it is 22709.
- 4
22709 has no twin: neither 22707 nor 22711 is prime.
Primes around the 2537th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2534 | 22691 | 12 |
| 2535 | 22697 | 6 |
| 2536 | 22699 | 2 |
| 2537 | 22709 | 10 |
| 2538 | 22717 | 8 |
| 2539 | 22721 | 4 |
| 2540 | 22727 | 6 |
Questions
What is the 2537th prime number?
22709.
Which prime number is 22709?
22709 is the 2537th prime number.
What is the sum of the first 2537 primes?
27,044,692.