What is the 2675th prime number?
The 2675th prime number is 24049. The next prime is 24061 (a gap of 12) and the one before is 24043.
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 2675th one is 24049.
- 2
24049 is prime because no prime up to ā24049 ā 155.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2675th prime is close to 2675 Ć ln(2675) ā 21110, and here it is 24049.
- 4
24049 has no twin: neither 24047 nor 24051 is prime.
Primes around the 2675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2672 | 24023 | 4 |
| 2673 | 24029 | 6 |
| 2674 | 24043 | 14 |
| 2675 | 24049 | 6 |
| 2676 | 24061 | 12 |
| 2677 | 24071 | 10 |
| 2678 | 24077 | 6 |
Questions
What is the 2675th prime number?
24049.
Which prime number is 24049?
24049 is the 2675th prime number.
What is the sum of the first 2675 primes?
30,272,920.