What is the 2417th prime number?
The 2417th prime number is 21529. The next prime is 21557 (a gap of 28) and the one before is 21523.
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 2417th one is 21529.
- 2
21529 is prime because no prime up to ā21529 ā 146.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2417th prime is close to 2417 Ć ln(2417) ā 18829, and here it is 21529.
- 4
21529 has no twin: neither 21527 nor 21531 is prime.
Primes around the 2417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2414 | 21517 | 14 |
| 2415 | 21521 | 4 |
| 2416 | 21523 | 2 |
| 2417 | 21529 | 6 |
| 2418 | 21557 | 28 |
| 2419 | 21559 | 2 |
| 2420 | 21563 | 4 |
Questions
What is the 2417th prime number?
21529.
Which prime number is 21529?
21529 is the 2417th prime number.
What is the sum of the first 2417 primes?
24,390,974.