What is the 2701st prime number?
The 2701st prime number is 24317. The next prime is 24329 (a gap of 12) and the one before is 24281.
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 2701st one is 24317.
- 2
24317 is prime because no prime up to ā24317 ā 155.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2701st prime is close to 2701 Ć ln(2701) ā 21342, and here it is 24317.
- 4
24317 has no twin: neither 24315 nor 24319 is prime.
Primes around the 2701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2698 | 24247 | 8 |
| 2699 | 24251 | 4 |
| 2700 | 24281 | 30 |
| 2701 | 24317 | 36 |
| 2702 | 24329 | 12 |
| 2703 | 24337 | 8 |
| 2704 | 24359 | 22 |
Questions
What is the 2701st prime number?
24317.
Which prime number is 24317?
24317 is the 2701st prime number.
What is the sum of the first 2701 primes?
30,901,090.