What is the 2521st prime number?
The 2521st prime number is 22549. The next prime is 22567 (a gap of 18) and the one before is 22543.
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 2521st one is 22549.
- 2
22549 is prime because no prime up to ā22549 ā 150.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2521st prime is close to 2521 Ć ln(2521) ā 19746, and here it is 22549.
- 4
22549 has no twin: neither 22547 nor 22551 is prime.
Primes around the 2521st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2518 | 22531 | 20 |
| 2519 | 22541 | 10 |
| 2520 | 22543 | 2 |
| 2521 | 22549 | 6 |
| 2522 | 22567 | 18 |
| 2523 | 22571 | 4 |
| 2524 | 22573 | 2 |
Questions
What is the 2521st prime number?
22549.
Which prime number is 22549?
22549 is the 2521st prime number.
What is the sum of the first 2521 primes?
26,682,414.