What is the 2651st prime number?
The 2651st prime number is 23831. The next prime is 23833 (a gap of 2) and the one before is 23827.
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 2651st one is 23831.
- 2
23831 is prime because no prime up to ā23831 ā 154.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2651st prime is close to 2651 Ć ln(2651) ā 20897, and here it is 23831.
- 4
23831 is a twin prime: 23831 and 23833 are both prime.
Primes around the 2651st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2648 | 23813 | 12 |
| 2649 | 23819 | 6 |
| 2650 | 23827 | 8 |
| 2651 | 23831 | 4 |
| 2652 | 23833 | 2 |
| 2653 | 23857 | 24 |
| 2654 | 23869 | 12 |
Questions
What is the 2651st prime number?
23831.
Which prime number is 23831?
23831 is the 2651st prime number.
What is the sum of the first 2651 primes?
29,698,214.