What is the 8941st prime number?
The 8941st prime number is 92569. The next prime is 92581 (a gap of 12) and the one before is 92567.
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 8941st one is 92569.
- 2
92569 is prime because no prime up to ā92569 ā 304.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8941st prime is close to 8941 Ć ln(8941) ā 81349, and here it is 92569.
- 4
92569 is a twin prime: 92567 and 92569 are both prime.
Primes around the 8941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8938 | 92551 | 44 |
| 8939 | 92557 | 6 |
| 8940 | 92567 | 10 |
| 8941 | 92569 | 2 |
| 8942 | 92581 | 12 |
| 8943 | 92593 | 12 |
| 8944 | 92623 | 30 |
Questions
What is the 8941st prime number?
92569.
Which prime number is 92569?
92569 is the 8941st prime number.
What is the sum of the first 8941 primes?
391,740,082.