What is the 2673rd prime number?
The 2673rd prime number is 24029. The next prime is 24043 (a gap of 14) and the one before is 24023.
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 2673rd one is 24029.
- 2
24029 is prime because no prime up to ā24029 ā 155.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2673rd prime is close to 2673 Ć ln(2673) ā 21093, and here it is 24029.
- 4
24029 has no twin: neither 24027 nor 24031 is prime.
Primes around the 2673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2670 | 24007 | 6 |
| 2671 | 24019 | 12 |
| 2672 | 24023 | 4 |
| 2673 | 24029 | 6 |
| 2674 | 24043 | 14 |
| 2675 | 24049 | 6 |
| 2676 | 24061 | 12 |
Questions
What is the 2673rd prime number?
24029.
Which prime number is 24029?
24029 is the 2673rd prime number.
What is the sum of the first 2673 primes?
30,224,828.