What is the 2514th prime number?
The 2514th prime number is 22481. The next prime is 22483 (a gap of 2) and the one before is 22469.
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 2514th one is 22481.
- 2
22481 is prime because no prime up to ā22481 ā 149.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2514th prime is close to 2514 Ć ln(2514) ā 19684, and here it is 22481.
- 4
22481 is a twin prime: 22481 and 22483 are both prime.
Primes around the 2514th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2511 | 22447 | 6 |
| 2512 | 22453 | 6 |
| 2513 | 22469 | 16 |
| 2514 | 22481 | 12 |
| 2515 | 22483 | 2 |
| 2516 | 22501 | 18 |
| 2517 | 22511 | 10 |
Questions
What is the 2514th prime number?
22481.
Which prime number is 22481?
22481 is the 2514th prime number.
What is the sum of the first 2514 primes?
26,524,755.