What is the 2519th prime number?
The 2519th prime number is 22541. The next prime is 22543 (a gap of 2) and the one before is 22531.
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 2519th one is 22541.
- 2
22541 is prime because no prime up to ā22541 ā 150.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2519th prime is close to 2519 Ć ln(2519) ā 19728, and here it is 22541.
- 4
22541 is a twin prime: 22541 and 22543 are both prime.
Primes around the 2519th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2516 | 22501 | 18 |
| 2517 | 22511 | 10 |
| 2518 | 22531 | 20 |
| 2519 | 22541 | 10 |
| 2520 | 22543 | 2 |
| 2521 | 22549 | 6 |
| 2522 | 22567 | 18 |
Questions
What is the 2519th prime number?
22541.
Which prime number is 22541?
22541 is the 2519th prime number.
What is the sum of the first 2519 primes?
26,637,322.