What is the 2513th prime number?
The 2513th prime number is 22469. The next prime is 22481 (a gap of 12) and the one before is 22453.
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 2513th one is 22469.
- 2
22469 is prime because no prime up to ā22469 ā 149.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2513th prime is close to 2513 Ć ln(2513) ā 19675, and here it is 22469.
- 4
22469 has no twin: neither 22467 nor 22471 is prime.
Primes around the 2513th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2510 | 22441 | 8 |
| 2511 | 22447 | 6 |
| 2512 | 22453 | 6 |
| 2513 | 22469 | 16 |
| 2514 | 22481 | 12 |
| 2515 | 22483 | 2 |
| 2516 | 22501 | 18 |
Questions
What is the 2513th prime number?
22469.
Which prime number is 22469?
22469 is the 2513th prime number.
What is the sum of the first 2513 primes?
26,502,274.