What is the 2517th prime number?
The 2517th prime number is 22511. The next prime is 22531 (a gap of 20) and the one before is 22501.
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 2517th one is 22511.
- 2
22511 is prime because no prime up to ā22511 ā 150.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2517th prime is close to 2517 Ć ln(2517) ā 19710, and here it is 22511.
- 4
22511 has no twin: neither 22509 nor 22513 is prime.
Primes around the 2517th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2514 | 22481 | 12 |
| 2515 | 22483 | 2 |
| 2516 | 22501 | 18 |
| 2517 | 22511 | 10 |
| 2518 | 22531 | 20 |
| 2519 | 22541 | 10 |
| 2520 | 22543 | 2 |
Questions
What is the 2517th prime number?
22511.
Which prime number is 22511?
22511 is the 2517th prime number.
What is the sum of the first 2517 primes?
26,592,250.