What is the 2628th prime number?
The 2628th prime number is 23623. The next prime is 23627 (a gap of 4) and the one before is 23609.
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 2628th one is 23623.
- 2
23623 is prime because no prime up to ā23623 ā 153.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2628th prime is close to 2628 Ć ln(2628) ā 20693, and here it is 23623.
- 4
23623 has no twin: neither 23621 nor 23625 is prime.
Primes around the 2628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2625 | 23599 | 6 |
| 2626 | 23603 | 4 |
| 2627 | 23609 | 6 |
| 2628 | 23623 | 14 |
| 2629 | 23627 | 4 |
| 2630 | 23629 | 2 |
| 2631 | 23633 | 4 |
Questions
What is the 2628th prime number?
23623.
Which prime number is 23623?
23623 is the 2628th prime number.
What is the sum of the first 2628 primes?
29,152,385.