What is the 2941st prime number?
The 2941st prime number is 26813. The next prime is 26821 (a gap of 8) and the one before is 26801.
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 2941st one is 26813.
- 2
26813 is prime because no prime up to ā26813 ā 163.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2941st prime is close to 2941 Ć ln(2941) ā 23488, and here it is 26813.
- 4
26813 has no twin: neither 26811 nor 26815 is prime.
Primes around the 2941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2938 | 26777 | 18 |
| 2939 | 26783 | 6 |
| 2940 | 26801 | 18 |
| 2941 | 26813 | 12 |
| 2942 | 26821 | 8 |
| 2943 | 26833 | 12 |
| 2944 | 26839 | 6 |
Questions
What is the 2941st prime number?
26813.
Which prime number is 26813?
26813 is the 2941st prime number.
What is the sum of the first 2941 primes?
37,045,428.