What is the 2841st prime number?
The 2841st prime number is 25801. The next prime is 25819 (a gap of 18) and the one before is 25799.
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 2841st one is 25801.
- 2
25801 is prime because no prime up to ā25801 ā 160.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2841st prime is close to 2841 Ć ln(2841) ā 22591, and here it is 25801.
- 4
25801 is a twin prime: 25799 and 25801 are both prime.
Primes around the 2841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2838 | 25771 | 8 |
| 2839 | 25793 | 22 |
| 2840 | 25799 | 6 |
| 2841 | 25801 | 2 |
| 2842 | 25819 | 18 |
| 2843 | 25841 | 22 |
| 2844 | 25847 | 6 |
Questions
What is the 2841st prime number?
25801.
Which prime number is 25801?
25801 is the 2841st prime number.
What is the sum of the first 2841 primes?
34,413,522.