What is the 2942nd prime number?
The 2942nd prime number is 26821. The next prime is 26833 (a gap of 12) and the one before is 26813.
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 2942nd one is 26821.
- 2
26821 is prime because no prime up to ā26821 ā 163.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2942nd prime is close to 2942 Ć ln(2942) ā 23497, and here it is 26821.
- 4
26821 has no twin: neither 26819 nor 26823 is prime.
Primes around the 2942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2939 | 26783 | 6 |
| 2940 | 26801 | 18 |
| 2941 | 26813 | 12 |
| 2942 | 26821 | 8 |
| 2943 | 26833 | 12 |
| 2944 | 26839 | 6 |
| 2945 | 26849 | 10 |
Questions
What is the 2942nd prime number?
26821.
Which prime number is 26821?
26821 is the 2942nd prime number.
What is the sum of the first 2942 primes?
37,072,249.