What is the 2515th prime number?
The 2515th prime number is 22483. The next prime is 22501 (a gap of 18) and the one before is 22481.
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 2515th one is 22483.
- 2
22483 is prime because no prime up to ā22483 ā 149.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2515th prime is close to 2515 Ć ln(2515) ā 19693, and here it is 22483.
- 4
22483 is a twin prime: 22481 and 22483 are both prime.
Primes around the 2515th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2512 | 22453 | 6 |
| 2513 | 22469 | 16 |
| 2514 | 22481 | 12 |
| 2515 | 22483 | 2 |
| 2516 | 22501 | 18 |
| 2517 | 22511 | 10 |
| 2518 | 22531 | 20 |
Questions
What is the 2515th prime number?
22483.
Which prime number is 22483?
22483 is the 2515th prime number.
What is the sum of the first 2515 primes?
26,547,238.