What is the 2690th prime number?
The 2690th prime number is 24169. The next prime is 24179 (a gap of 10) and the one before is 24151.
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 2690th one is 24169.
- 2
24169 is prime because no prime up to ā24169 ā 155.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2690th prime is close to 2690 Ć ln(2690) ā 21244, and here it is 24169.
- 4
24169 has no twin: neither 24167 nor 24171 is prime.
Primes around the 2690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2687 | 24133 | 12 |
| 2688 | 24137 | 4 |
| 2689 | 24151 | 14 |
| 2690 | 24169 | 18 |
| 2691 | 24179 | 10 |
| 2692 | 24181 | 2 |
| 2693 | 24197 | 16 |
Questions
What is the 2690th prime number?
24169.
Which prime number is 24169?
24169 is the 2690th prime number.
What is the sum of the first 2690 primes?
30,634,543.