What is the 2698th prime number?
The 2698th prime number is 24247. The next prime is 24251 (a gap of 4) and the one before is 24239.
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 2698th one is 24247.
- 2
24247 is prime because no prime up to ā24247 ā 155.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2698th prime is close to 2698 Ć ln(2698) ā 21315, and here it is 24247.
- 4
24247 has no twin: neither 24245 nor 24249 is prime.
Primes around the 2698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2695 | 24223 | 20 |
| 2696 | 24229 | 6 |
| 2697 | 24239 | 10 |
| 2698 | 24247 | 8 |
| 2699 | 24251 | 4 |
| 2700 | 24281 | 30 |
| 2701 | 24317 | 36 |
Questions
What is the 2698th prime number?
24247.
Which prime number is 24247?
24247 is the 2698th prime number.
What is the sum of the first 2698 primes?
30,828,241.