What is the 2670th prime number?
The 2670th prime number is 24007. The next prime is 24019 (a gap of 12) and the one before is 24001.
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 2670th one is 24007.
- 2
24007 is prime because no prime up to ā24007 ā 154.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2670th prime is close to 2670 Ć ln(2670) ā 21066, and here it is 24007.
- 4
24007 has no twin: neither 24005 nor 24009 is prime.
Primes around the 2670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2667 | 23981 | 4 |
| 2668 | 23993 | 12 |
| 2669 | 24001 | 8 |
| 2670 | 24007 | 6 |
| 2671 | 24019 | 12 |
| 2672 | 24023 | 4 |
| 2673 | 24029 | 6 |
Questions
What is the 2670th prime number?
24007.
Which prime number is 24007?
24007 is the 2670th prime number.
What is the sum of the first 2670 primes?
30,152,757.