What is the 2843rd prime number?
The 2843rd prime number is 25841. The next prime is 25847 (a gap of 6) and the one before is 25819.
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 2843rd one is 25841.
- 2
25841 is prime because no prime up to ā25841 ā 160.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2843rd prime is close to 2843 Ć ln(2843) ā 22609, and here it is 25841.
- 4
25841 has no twin: neither 25839 nor 25843 is prime.
Primes around the 2843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2840 | 25799 | 6 |
| 2841 | 25801 | 2 |
| 2842 | 25819 | 18 |
| 2843 | 25841 | 22 |
| 2844 | 25847 | 6 |
| 2845 | 25849 | 2 |
| 2846 | 25867 | 18 |
Questions
What is the 2843rd prime number?
25841.
Which prime number is 25841?
25841 is the 2843rd prime number.
What is the sum of the first 2843 primes?
34,465,182.