What is the 2674th prime number?
The 2674th prime number is 24043. The next prime is 24049 (a gap of 6) and the one before is 24029.
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 2674th one is 24043.
- 2
24043 is prime because no prime up to ā24043 ā 155.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2674th prime is close to 2674 Ć ln(2674) ā 21101, and here it is 24043.
- 4
24043 has no twin: neither 24041 nor 24045 is prime.
Primes around the 2674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2671 | 24019 | 12 |
| 2672 | 24023 | 4 |
| 2673 | 24029 | 6 |
| 2674 | 24043 | 14 |
| 2675 | 24049 | 6 |
| 2676 | 24061 | 12 |
| 2677 | 24071 | 10 |
Questions
What is the 2674th prime number?
24043.
Which prime number is 24043?
24043 is the 2674th prime number.
What is the sum of the first 2674 primes?
30,248,871.