What is the 2622nd prime number?
The 2622nd prime number is 23567. The next prime is 23581 (a gap of 14) and the one before is 23563.
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 2622nd one is 23567.
- 2
23567 is prime because no prime up to ā23567 ā 153.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2622nd prime is close to 2622 Ć ln(2622) ā 20640, and here it is 23567.
- 4
23567 has no twin: neither 23565 nor 23569 is prime.
Primes around the 2622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2619 | 23557 | 8 |
| 2620 | 23561 | 4 |
| 2621 | 23563 | 2 |
| 2622 | 23567 | 4 |
| 2623 | 23581 | 14 |
| 2624 | 23593 | 12 |
| 2625 | 23599 | 6 |
Questions
What is the 2622nd prime number?
23567.
Which prime number is 23567?
23567 is the 2622nd prime number.
What is the sum of the first 2622 primes?
29,010,777.