What is the 2691st prime number?
The 2691st prime number is 24179. The next prime is 24181 (a gap of 2) and the one before is 24169.
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 2691st one is 24179.
- 2
24179 is prime because no prime up to ā24179 ā 155.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2691st prime is close to 2691 Ć ln(2691) ā 21253, and here it is 24179.
- 4
24179 is a twin prime: 24179 and 24181 are both prime.
Primes around the 2691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2688 | 24137 | 4 |
| 2689 | 24151 | 14 |
| 2690 | 24169 | 18 |
| 2691 | 24179 | 10 |
| 2692 | 24181 | 2 |
| 2693 | 24197 | 16 |
| 2694 | 24203 | 6 |
Questions
What is the 2691st prime number?
24179.
Which prime number is 24179?
24179 is the 2691st prime number.
What is the sum of the first 2691 primes?
30,658,722.