What is the 2621st prime number?
The 2621st prime number is 23563. The next prime is 23567 (a gap of 4) and the one before is 23561.
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 2621st one is 23563.
- 2
23563 is prime because no prime up to ā23563 ā 153.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2621st prime is close to 2621 Ć ln(2621) ā 20631, and here it is 23563.
- 4
23563 is a twin prime: 23561 and 23563 are both prime.
Primes around the 2621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2618 | 23549 | 10 |
| 2619 | 23557 | 8 |
| 2620 | 23561 | 4 |
| 2621 | 23563 | 2 |
| 2622 | 23567 | 4 |
| 2623 | 23581 | 14 |
| 2624 | 23593 | 12 |
Questions
What is the 2621st prime number?
23563.
Which prime number is 23563?
23563 is the 2621st prime number.
What is the sum of the first 2621 primes?
28,987,210.