What is the 2415th prime number?
The 2415th prime number is 21521. The next prime is 21523 (a gap of 2) and the one before is 21517.
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 2415th one is 21521.
- 2
21521 is prime because no prime up to ā21521 ā 146.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2415th prime is close to 2415 Ć ln(2415) ā 18812, and here it is 21521.
- 4
21521 is a twin prime: 21521 and 21523 are both prime.
Primes around the 2415th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2412 | 21499 | 6 |
| 2413 | 21503 | 4 |
| 2414 | 21517 | 14 |
| 2415 | 21521 | 4 |
| 2416 | 21523 | 2 |
| 2417 | 21529 | 6 |
| 2418 | 21557 | 28 |
Questions
What is the 2415th prime number?
21521.
Which prime number is 21521?
21521 is the 2415th prime number.
What is the sum of the first 2415 primes?
24,347,922.