What is the 2418th prime number?
The 2418th prime number is 21557. The next prime is 21559 (a gap of 2) and the one before is 21529.
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 2418th one is 21557.
- 2
21557 is prime because no prime up to ā21557 ā 146.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2418th prime is close to 2418 Ć ln(2418) ā 18838, and here it is 21557.
- 4
21557 is a twin prime: 21557 and 21559 are both prime.
Primes around the 2418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2415 | 21521 | 4 |
| 2416 | 21523 | 2 |
| 2417 | 21529 | 6 |
| 2418 | 21557 | 28 |
| 2419 | 21559 | 2 |
| 2420 | 21563 | 4 |
| 2421 | 21569 | 6 |
Questions
What is the 2418th prime number?
21557.
Which prime number is 21557?
21557 is the 2418th prime number.
What is the sum of the first 2418 primes?
24,412,531.