What is the 2846th prime number?
The 2846th prime number is 25867. The next prime is 25873 (a gap of 6) and the one before is 25849.
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 2846th one is 25867.
- 2
25867 is prime because no prime up to ā25867 ā 160.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2846th prime is close to 2846 Ć ln(2846) ā 22636, and here it is 25867.
- 4
25867 has no twin: neither 25865 nor 25869 is prime.
Primes around the 2846th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2843 | 25841 | 22 |
| 2844 | 25847 | 6 |
| 2845 | 25849 | 2 |
| 2846 | 25867 | 18 |
| 2847 | 25873 | 6 |
| 2848 | 25889 | 16 |
| 2849 | 25903 | 14 |
Questions
What is the 2846th prime number?
25867.
Which prime number is 25867?
25867 is the 2846th prime number.
What is the sum of the first 2846 primes?
34,542,745.