What is the 2669th prime number?
The 2669th prime number is 24001. The next prime is 24007 (a gap of 6) and the one before is 23993.
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 2669th one is 24001.
- 2
24001 is prime because no prime up to ā24001 ā 154.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2669th prime is close to 2669 Ć ln(2669) ā 21057, and here it is 24001.
- 4
24001 has no twin: neither 23999 nor 24003 is prime.
Primes around the 2669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2666 | 23977 | 6 |
| 2667 | 23981 | 4 |
| 2668 | 23993 | 12 |
| 2669 | 24001 | 8 |
| 2670 | 24007 | 6 |
| 2671 | 24019 | 12 |
| 2672 | 24023 | 4 |
Questions
What is the 2669th prime number?
24001.
Which prime number is 24001?
24001 is the 2669th prime number.
What is the sum of the first 2669 primes?
30,128,750.