What is the 2412th prime number?
The 2412th prime number is 21499. The next prime is 21503 (a gap of 4) and the one before is 21493.
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 2412th one is 21499.
- 2
21499 is prime because no prime up to ā21499 ā 146.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2412th prime is close to 2412 Ć ln(2412) ā 18785, and here it is 21499.
- 4
21499 has no twin: neither 21497 nor 21501 is prime.
Primes around the 2412th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2409 | 21487 | 6 |
| 2410 | 21491 | 4 |
| 2411 | 21493 | 2 |
| 2412 | 21499 | 6 |
| 2413 | 21503 | 4 |
| 2414 | 21517 | 14 |
| 2415 | 21521 | 4 |
Questions
What is the 2412th prime number?
21499.
Which prime number is 21499?
21499 is the 2412th prime number.
What is the sum of the first 2412 primes?
24,283,381.