What is the 2518th prime number?
The 2518th prime number is 22531. The next prime is 22541 (a gap of 10) and the one before is 22511.
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 2518th one is 22531.
- 2
22531 is prime because no prime up to ā22531 ā 150.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2518th prime is close to 2518 Ć ln(2518) ā 19719, and here it is 22531.
- 4
22531 has no twin: neither 22529 nor 22533 is prime.
Primes around the 2518th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2515 | 22483 | 2 |
| 2516 | 22501 | 18 |
| 2517 | 22511 | 10 |
| 2518 | 22531 | 20 |
| 2519 | 22541 | 10 |
| 2520 | 22543 | 2 |
| 2521 | 22549 | 6 |
Questions
What is the 2518th prime number?
22531.
Which prime number is 22531?
22531 is the 2518th prime number.
What is the sum of the first 2518 primes?
26,614,781.