What is the 2859th prime number?
The 2859th prime number is 25997. The next prime is 25999 (a gap of 2) and the one before is 25981.
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 2859th one is 25997.
- 2
25997 is prime because no prime up to ā25997 ā 161.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2859th prime is close to 2859 Ć ln(2859) ā 22753, and here it is 25997.
- 4
25997 is a twin prime: 25997 and 25999 are both prime.
Primes around the 2859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2856 | 25951 | 8 |
| 2857 | 25969 | 18 |
| 2858 | 25981 | 12 |
| 2859 | 25997 | 16 |
| 2860 | 25999 | 2 |
| 2861 | 26003 | 4 |
| 2862 | 26017 | 14 |
Questions
What is the 2859th prime number?
25997.
Which prime number is 25997?
25997 is the 2859th prime number.
What is the sum of the first 2859 primes?
34,879,886.