What is the 2692nd prime number?
The 2692nd prime number is 24181. The next prime is 24197 (a gap of 16) and the one before is 24179.
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 2692nd one is 24181.
- 2
24181 is prime because no prime up to ā24181 ā 155.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2692nd prime is close to 2692 Ć ln(2692) ā 21262, and here it is 24181.
- 4
24181 is a twin prime: 24179 and 24181 are both prime.
Primes around the 2692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2689 | 24151 | 14 |
| 2690 | 24169 | 18 |
| 2691 | 24179 | 10 |
| 2692 | 24181 | 2 |
| 2693 | 24197 | 16 |
| 2694 | 24203 | 6 |
| 2695 | 24223 | 20 |
Questions
What is the 2692nd prime number?
24181.
Which prime number is 24181?
24181 is the 2692nd prime number.
What is the sum of the first 2692 primes?
30,682,903.