What is the 2665th prime number?
The 2665th prime number is 23971. The next prime is 23977 (a gap of 6) and the one before is 23957.
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 2665th one is 23971.
- 2
23971 is prime because no prime up to ā23971 ā 154.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2665th prime is close to 2665 Ć ln(2665) ā 21021, and here it is 23971.
- 4
23971 has no twin: neither 23969 nor 23973 is prime.
Primes around the 2665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2662 | 23917 | 6 |
| 2663 | 23929 | 12 |
| 2664 | 23957 | 28 |
| 2665 | 23971 | 14 |
| 2666 | 23977 | 6 |
| 2667 | 23981 | 4 |
| 2668 | 23993 | 12 |
Questions
What is the 2665th prime number?
23971.
Which prime number is 23971?
23971 is the 2665th prime number.
What is the sum of the first 2665 primes?
30,032,798.