What is the 2860th prime number?
The 2860th prime number is 25999. The next prime is 26003 (a gap of 4) and the one before is 25997.
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 2860th one is 25999.
- 2
25999 is prime because no prime up to ā25999 ā 161.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2860th prime is close to 2860 Ć ln(2860) ā 22762, and here it is 25999.
- 4
25999 is a twin prime: 25997 and 25999 are both prime.
Primes around the 2860th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2857 | 25969 | 18 |
| 2858 | 25981 | 12 |
| 2859 | 25997 | 16 |
| 2860 | 25999 | 2 |
| 2861 | 26003 | 4 |
| 2862 | 26017 | 14 |
| 2863 | 26021 | 4 |
Questions
What is the 2860th prime number?
25999.
Which prime number is 25999?
25999 is the 2860th prime number.
What is the sum of the first 2860 primes?
34,905,885.