What is the 2666th prime number?
The 2666th prime number is 23977. The next prime is 23981 (a gap of 4) and the one before is 23971.
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 2666th one is 23977.
- 2
23977 is prime because no prime up to ā23977 ā 154.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2666th prime is close to 2666 Ć ln(2666) ā 21030, and here it is 23977.
- 4
23977 has no twin: neither 23975 nor 23979 is prime.
Primes around the 2666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2663 | 23929 | 12 |
| 2664 | 23957 | 28 |
| 2665 | 23971 | 14 |
| 2666 | 23977 | 6 |
| 2667 | 23981 | 4 |
| 2668 | 23993 | 12 |
| 2669 | 24001 | 8 |
Questions
What is the 2666th prime number?
23977.
Which prime number is 23977?
23977 is the 2666th prime number.
What is the sum of the first 2666 primes?
30,056,775.