What is the 2668th prime number?
The 2668th prime number is 23993. The next prime is 24001 (a gap of 8) and the one before is 23981.
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 2668th one is 23993.
- 2
23993 is prime because no prime up to ā23993 ā 154.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2668th prime is close to 2668 Ć ln(2668) ā 21048, and here it is 23993.
- 4
23993 has no twin: neither 23991 nor 23995 is prime.
Primes around the 2668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2665 | 23971 | 14 |
| 2666 | 23977 | 6 |
| 2667 | 23981 | 4 |
| 2668 | 23993 | 12 |
| 2669 | 24001 | 8 |
| 2670 | 24007 | 6 |
| 2671 | 24019 | 12 |
Questions
What is the 2668th prime number?
23993.
Which prime number is 23993?
23993 is the 2668th prime number.
What is the sum of the first 2668 primes?
30,104,749.