What is the 2416th prime number?
The 2416th prime number is 21523. The next prime is 21529 (a gap of 6) and the one before is 21521.
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 2416th one is 21523.
- 2
21523 is prime because no prime up to ā21523 ā 146.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2416th prime is close to 2416 Ć ln(2416) ā 18820, and here it is 21523.
- 4
21523 is a twin prime: 21521 and 21523 are both prime.
Primes around the 2416th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2413 | 21503 | 4 |
| 2414 | 21517 | 14 |
| 2415 | 21521 | 4 |
| 2416 | 21523 | 2 |
| 2417 | 21529 | 6 |
| 2418 | 21557 | 28 |
| 2419 | 21559 | 2 |
Questions
What is the 2416th prime number?
21523.
Which prime number is 21523?
21523 is the 2416th prime number.
What is the sum of the first 2416 primes?
24,369,445.