What is the 2667th prime number?
The 2667th prime number is 23981. The next prime is 23993 (a gap of 12) and the one before is 23977.
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 2667th one is 23981.
- 2
23981 is prime because no prime up to ā23981 ā 154.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2667th prime is close to 2667 Ć ln(2667) ā 21039, and here it is 23981.
- 4
23981 has no twin: neither 23979 nor 23983 is prime.
Primes around the 2667th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2664 | 23957 | 28 |
| 2665 | 23971 | 14 |
| 2666 | 23977 | 6 |
| 2667 | 23981 | 4 |
| 2668 | 23993 | 12 |
| 2669 | 24001 | 8 |
| 2670 | 24007 | 6 |
Questions
What is the 2667th prime number?
23981.
Which prime number is 23981?
23981 is the 2667th prime number.
What is the sum of the first 2667 primes?
30,080,756.