What is the 2697th prime number?
The 2697th prime number is 24239. The next prime is 24247 (a gap of 8) and the one before is 24229.
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 2697th one is 24239.
- 2
24239 is prime because no prime up to ā24239 ā 155.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2697th prime is close to 2697 Ć ln(2697) ā 21306, and here it is 24239.
- 4
24239 has no twin: neither 24237 nor 24241 is prime.
Primes around the 2697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2694 | 24203 | 6 |
| 2695 | 24223 | 20 |
| 2696 | 24229 | 6 |
| 2697 | 24239 | 10 |
| 2698 | 24247 | 8 |
| 2699 | 24251 | 4 |
| 2700 | 24281 | 30 |
Questions
What is the 2697th prime number?
24239.
Which prime number is 24239?
24239 is the 2697th prime number.
What is the sum of the first 2697 primes?
30,803,994.