What is the 2658th prime number?
The 2658th prime number is 23893. The next prime is 23899 (a gap of 6) and the one before is 23887.
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 2658th one is 23893.
- 2
23893 is prime because no prime up to ā23893 ā 154.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2658th prime is close to 2658 Ć ln(2658) ā 20959, and here it is 23893.
- 4
23893 has no twin: neither 23891 nor 23895 is prime.
Primes around the 2658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2655 | 23873 | 4 |
| 2656 | 23879 | 6 |
| 2657 | 23887 | 8 |
| 2658 | 23893 | 6 |
| 2659 | 23899 | 6 |
| 2660 | 23909 | 10 |
| 2661 | 23911 | 2 |
Questions
What is the 2658th prime number?
23893.
Which prime number is 23893?
23893 is the 2658th prime number.
What is the sum of the first 2658 primes?
29,865,305.