What is the 2694th prime number?
The 2694th prime number is 24203. The next prime is 24223 (a gap of 20) and the one before is 24197.
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 2694th one is 24203.
- 2
24203 is prime because no prime up to ā24203 ā 155.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2694th prime is close to 2694 Ć ln(2694) ā 21279, and here it is 24203.
- 4
24203 has no twin: neither 24201 nor 24205 is prime.
Primes around the 2694th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2691 | 24179 | 10 |
| 2692 | 24181 | 2 |
| 2693 | 24197 | 16 |
| 2694 | 24203 | 6 |
| 2695 | 24223 | 20 |
| 2696 | 24229 | 6 |
| 2697 | 24239 | 10 |
Questions
What is the 2694th prime number?
24203.
Which prime number is 24203?
24203 is the 2694th prime number.
What is the sum of the first 2694 primes?
30,731,303.