What is the 2943rd prime number?
The 2943rd prime number is 26833. The next prime is 26839 (a gap of 6) and the one before is 26821.
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 2943rd one is 26833.
- 2
26833 is prime because no prime up to ā26833 ā 163.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2943rd prime is close to 2943 Ć ln(2943) ā 23506, and here it is 26833.
- 4
26833 has no twin: neither 26831 nor 26835 is prime.
Primes around the 2943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2940 | 26801 | 18 |
| 2941 | 26813 | 12 |
| 2942 | 26821 | 8 |
| 2943 | 26833 | 12 |
| 2944 | 26839 | 6 |
| 2945 | 26849 | 10 |
| 2946 | 26861 | 12 |
Questions
What is the 2943rd prime number?
26833.
Which prime number is 26833?
26833 is the 2943rd prime number.
What is the sum of the first 2943 primes?
37,099,082.