What is the 2693rd prime number?
The 2693rd prime number is 24197. The next prime is 24203 (a gap of 6) and the one before is 24181.
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 2693rd one is 24197.
- 2
24197 is prime because no prime up to ā24197 ā 155.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2693rd prime is close to 2693 Ć ln(2693) ā 21270, and here it is 24197.
- 4
24197 has no twin: neither 24195 nor 24199 is prime.
Primes around the 2693rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2690 | 24169 | 18 |
| 2691 | 24179 | 10 |
| 2692 | 24181 | 2 |
| 2693 | 24197 | 16 |
| 2694 | 24203 | 6 |
| 2695 | 24223 | 20 |
| 2696 | 24229 | 6 |
Questions
What is the 2693rd prime number?
24197.
Which prime number is 24197?
24197 is the 2693rd prime number.
What is the sum of the first 2693 primes?
30,707,100.