What is the 2652nd prime number?
The 2652nd prime number is 23833. The next prime is 23857 (a gap of 24) and the one before is 23831.
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 2652nd one is 23833.
- 2
23833 is prime because no prime up to ā23833 ā 154.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2652nd prime is close to 2652 Ć ln(2652) ā 20906, and here it is 23833.
- 4
23833 is a twin prime: 23831 and 23833 are both prime.
Primes around the 2652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2649 | 23819 | 6 |
| 2650 | 23827 | 8 |
| 2651 | 23831 | 4 |
| 2652 | 23833 | 2 |
| 2653 | 23857 | 24 |
| 2654 | 23869 | 12 |
| 2655 | 23873 | 4 |
Questions
What is the 2652nd prime number?
23833.
Which prime number is 23833?
23833 is the 2652nd prime number.
What is the sum of the first 2652 primes?
29,722,047.