What is the 2650th prime number?
The 2650th prime number is 23827. The next prime is 23831 (a gap of 4) and the one before is 23819.
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 2650th one is 23827.
- 2
23827 is prime because no prime up to ā23827 ā 154.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2650th prime is close to 2650 Ć ln(2650) ā 20888, and here it is 23827.
- 4
23827 has no twin: neither 23825 nor 23829 is prime.
Primes around the 2650th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2647 | 23801 | 12 |
| 2648 | 23813 | 12 |
| 2649 | 23819 | 6 |
| 2650 | 23827 | 8 |
| 2651 | 23831 | 4 |
| 2652 | 23833 | 2 |
| 2653 | 23857 | 24 |
Questions
What is the 2650th prime number?
23827.
Which prime number is 23827?
23827 is the 2650th prime number.
What is the sum of the first 2650 primes?
29,674,383.