What is the 2625th prime number?
The 2625th prime number is 23599. The next prime is 23603 (a gap of 4) and the one before is 23593.
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 2625th one is 23599.
- 2
23599 is prime because no prime up to ā23599 ā 153.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2625th prime is close to 2625 Ć ln(2625) ā 20666, and here it is 23599.
- 4
23599 has no twin: neither 23597 nor 23601 is prime.
Primes around the 2625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2622 | 23567 | 4 |
| 2623 | 23581 | 14 |
| 2624 | 23593 | 12 |
| 2625 | 23599 | 6 |
| 2626 | 23603 | 4 |
| 2627 | 23609 | 6 |
| 2628 | 23623 | 14 |
Questions
What is the 2625th prime number?
23599.
Which prime number is 23599?
23599 is the 2625th prime number.
What is the sum of the first 2625 primes?
29,081,550.