What is the 2659th prime number?
The 2659th prime number is 23899. The next prime is 23909 (a gap of 10) and the one before is 23893.
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 2659th one is 23899.
- 2
23899 is prime because no prime up to ā23899 ā 154.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2659th prime is close to 2659 Ć ln(2659) ā 20968, and here it is 23899.
- 4
23899 has no twin: neither 23897 nor 23901 is prime.
Primes around the 2659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2656 | 23879 | 6 |
| 2657 | 23887 | 8 |
| 2658 | 23893 | 6 |
| 2659 | 23899 | 6 |
| 2660 | 23909 | 10 |
| 2661 | 23911 | 2 |
| 2662 | 23917 | 6 |
Questions
What is the 2659th prime number?
23899.
Which prime number is 23899?
23899 is the 2659th prime number.
What is the sum of the first 2659 primes?
29,889,204.