What is the 2671st prime number?
The 2671st prime number is 24019. The next prime is 24023 (a gap of 4) and the one before is 24007.
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 2671st one is 24019.
- 2
24019 is prime because no prime up to ā24019 ā 154.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2671st prime is close to 2671 Ć ln(2671) ā 21075, and here it is 24019.
- 4
24019 has no twin: neither 24017 nor 24021 is prime.
Primes around the 2671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2668 | 23993 | 12 |
| 2669 | 24001 | 8 |
| 2670 | 24007 | 6 |
| 2671 | 24019 | 12 |
| 2672 | 24023 | 4 |
| 2673 | 24029 | 6 |
| 2674 | 24043 | 14 |
Questions
What is the 2671st prime number?
24019.
Which prime number is 24019?
24019 is the 2671st prime number.
What is the sum of the first 2671 primes?
30,176,776.