What is the 2657th prime number?
The 2657th prime number is 23887. The next prime is 23893 (a gap of 6) and the one before is 23879.
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 2657th one is 23887.
- 2
23887 is prime because no prime up to ā23887 ā 154.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2657th prime is close to 2657 Ć ln(2657) ā 20950, and here it is 23887.
- 4
23887 has no twin: neither 23885 nor 23889 is prime.
Primes around the 2657th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2654 | 23869 | 12 |
| 2655 | 23873 | 4 |
| 2656 | 23879 | 6 |
| 2657 | 23887 | 8 |
| 2658 | 23893 | 6 |
| 2659 | 23899 | 6 |
| 2660 | 23909 | 10 |
Questions
What is the 2657th prime number?
23887.
Which prime number is 23887?
23887 is the 2657th prime number.
What is the sum of the first 2657 primes?
29,841,412.