What is the 2702nd prime number?
The 2702nd prime number is 24329. The next prime is 24337 (a gap of 8) and the one before is 24317.
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 2702nd one is 24329.
- 2
24329 is prime because no prime up to ā24329 ā 155.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2702nd prime is close to 2702 Ć ln(2702) ā 21351, and here it is 24329.
- 4
24329 has no twin: neither 24327 nor 24331 is prime.
Primes around the 2702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2699 | 24251 | 4 |
| 2700 | 24281 | 30 |
| 2701 | 24317 | 36 |
| 2702 | 24329 | 12 |
| 2703 | 24337 | 8 |
| 2704 | 24359 | 22 |
| 2705 | 24371 | 12 |
Questions
What is the 2702nd prime number?
24329.
Which prime number is 24329?
24329 is the 2702nd prime number.
What is the sum of the first 2702 primes?
30,925,419.