What is the 2624th prime number?
The 2624th prime number is 23593. The next prime is 23599 (a gap of 6) and the one before is 23581.
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 2624th one is 23593.
- 2
23593 is prime because no prime up to ā23593 ā 153.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2624th prime is close to 2624 Ć ln(2624) ā 20657, and here it is 23593.
- 4
23593 has no twin: neither 23591 nor 23595 is prime.
Primes around the 2624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2621 | 23563 | 2 |
| 2622 | 23567 | 4 |
| 2623 | 23581 | 14 |
| 2624 | 23593 | 12 |
| 2625 | 23599 | 6 |
| 2626 | 23603 | 4 |
| 2627 | 23609 | 6 |
Questions
What is the 2624th prime number?
23593.
Which prime number is 23593?
23593 is the 2624th prime number.
What is the sum of the first 2624 primes?
29,057,951.