What is the 2317th prime number?
The 2317th prime number is 20533. The next prime is 20543 (a gap of 10) and the one before is 20521.
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 2317th one is 20533.
- 2
20533 is prime because no prime up to ā20533 ā 143.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2317th prime is close to 2317 Ć ln(2317) ā 17952, and here it is 20533.
- 4
20533 has no twin: neither 20531 nor 20535 is prime.
Primes around the 2317th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2314 | 20507 | 24 |
| 2315 | 20509 | 2 |
| 2316 | 20521 | 12 |
| 2317 | 20533 | 12 |
| 2318 | 20543 | 10 |
| 2319 | 20549 | 6 |
| 2320 | 20551 | 2 |
Questions
What is the 2317th prime number?
20533.
Which prime number is 20533?
20533 is the 2317th prime number.
What is the sum of the first 2317 primes?
22,285,598.