What is the 2672nd prime number?
The 2672nd prime number is 24023. The next prime is 24029 (a gap of 6) and the one before is 24019.
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 2672nd one is 24023.
- 2
24023 is prime because no prime up to ā24023 ā 154.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2672nd prime is close to 2672 Ć ln(2672) ā 21084, and here it is 24023.
- 4
24023 has no twin: neither 24021 nor 24025 is prime.
Primes around the 2672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2669 | 24001 | 8 |
| 2670 | 24007 | 6 |
| 2671 | 24019 | 12 |
| 2672 | 24023 | 4 |
| 2673 | 24029 | 6 |
| 2674 | 24043 | 14 |
| 2675 | 24049 | 6 |
Questions
What is the 2672nd prime number?
24023.
Which prime number is 24023?
24023 is the 2672nd prime number.
What is the sum of the first 2672 primes?
30,200,799.