What is the 2413th prime number?
The 2413th prime number is 21503. The next prime is 21517 (a gap of 14) and the one before is 21499.
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 2413th one is 21503.
- 2
21503 is prime because no prime up to ā21503 ā 146.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2413th prime is close to 2413 Ć ln(2413) ā 18794, and here it is 21503.
- 4
21503 has no twin: neither 21501 nor 21505 is prime.
Primes around the 2413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2410 | 21491 | 4 |
| 2411 | 21493 | 2 |
| 2412 | 21499 | 6 |
| 2413 | 21503 | 4 |
| 2414 | 21517 | 14 |
| 2415 | 21521 | 4 |
| 2416 | 21523 | 2 |
Questions
What is the 2413th prime number?
21503.
Which prime number is 21503?
21503 is the 2413th prime number.
What is the sum of the first 2413 primes?
24,304,884.