What is the 2695th prime number?
The 2695th prime number is 24223. The next prime is 24229 (a gap of 6) and the one before is 24203.
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 2695th one is 24223.
- 2
24223 is prime because no prime up to ā24223 ā 155.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2695th prime is close to 2695 Ć ln(2695) ā 21288, and here it is 24223.
- 4
24223 has no twin: neither 24221 nor 24225 is prime.
Primes around the 2695th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2692 | 24181 | 2 |
| 2693 | 24197 | 16 |
| 2694 | 24203 | 6 |
| 2695 | 24223 | 20 |
| 2696 | 24229 | 6 |
| 2697 | 24239 | 10 |
| 2698 | 24247 | 8 |
Questions
What is the 2695th prime number?
24223.
Which prime number is 24223?
24223 is the 2695th prime number.
What is the sum of the first 2695 primes?
30,755,526.