What is the 2696th prime number?
The 2696th prime number is 24229. The next prime is 24239 (a gap of 10) and the one before is 24223.
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 2696th one is 24229.
- 2
24229 is prime because no prime up to ā24229 ā 155.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2696th prime is close to 2696 Ć ln(2696) ā 21297, and here it is 24229.
- 4
24229 has no twin: neither 24227 nor 24231 is prime.
Primes around the 2696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2693 | 24197 | 16 |
| 2694 | 24203 | 6 |
| 2695 | 24223 | 20 |
| 2696 | 24229 | 6 |
| 2697 | 24239 | 10 |
| 2698 | 24247 | 8 |
| 2699 | 24251 | 4 |
Questions
What is the 2696th prime number?
24229.
Which prime number is 24229?
24229 is the 2696th prime number.
What is the sum of the first 2696 primes?
30,779,755.