What is the 2700th prime number?
The 2700th prime number is 24281. The next prime is 24317 (a gap of 36) and the one before is 24251.
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 2700th one is 24281.
- 2
24281 is prime because no prime up to ā24281 ā 155.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2700th prime is close to 2700 Ć ln(2700) ā 21333, and here it is 24281.
- 4
24281 has no twin: neither 24279 nor 24283 is prime.
Primes around the 2700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2697 | 24239 | 10 |
| 2698 | 24247 | 8 |
| 2699 | 24251 | 4 |
| 2700 | 24281 | 30 |
| 2701 | 24317 | 36 |
| 2702 | 24329 | 12 |
| 2703 | 24337 | 8 |
Questions
What is the 2700th prime number?
24281.
Which prime number is 24281?
24281 is the 2700th prime number.
What is the sum of the first 2700 primes?
30,876,773.