What is the 2699th prime number?
The 2699th prime number is 24251. The next prime is 24281 (a gap of 30) and the one before is 24247.
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 2699th one is 24251.
- 2
24251 is prime because no prime up to ā24251 ā 155.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2699th prime is close to 2699 Ć ln(2699) ā 21324, and here it is 24251.
- 4
24251 has no twin: neither 24249 nor 24253 is prime.
Primes around the 2699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2696 | 24229 | 6 |
| 2697 | 24239 | 10 |
| 2698 | 24247 | 8 |
| 2699 | 24251 | 4 |
| 2700 | 24281 | 30 |
| 2701 | 24317 | 36 |
| 2702 | 24329 | 12 |
Questions
What is the 2699th prime number?
24251.
Which prime number is 24251?
24251 is the 2699th prime number.
What is the sum of the first 2699 primes?
30,852,492.