What is the 8942nd prime number?
The 8942nd prime number is 92581. The next prime is 92593 (a gap of 12) and the one before is 92569.
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 8942nd one is 92581.
- 2
92581 is prime because no prime up to ā92581 ā 304.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8942nd prime is close to 8942 Ć ln(8942) ā 81359, and here it is 92581.
- 4
92581 has no twin: neither 92579 nor 92583 is prime.
Primes around the 8942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8939 | 92557 | 6 |
| 8940 | 92567 | 10 |
| 8941 | 92569 | 2 |
| 8942 | 92581 | 12 |
| 8943 | 92593 | 12 |
| 8944 | 92623 | 30 |
| 8945 | 92627 | 4 |
Questions
What is the 8942nd prime number?
92581.
Which prime number is 92581?
92581 is the 8942nd prime number.
What is the sum of the first 8942 primes?
391,832,663.