What is the 8943rd prime number?
The 8943rd prime number is 92593. The next prime is 92623 (a gap of 30) and the one before is 92581.
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 8943rd one is 92593.
- 2
92593 is prime because no prime up to ā92593 ā 304.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8943rd prime is close to 8943 Ć ln(8943) ā 81369, and here it is 92593.
- 4
92593 has no twin: neither 92591 nor 92595 is prime.
Primes around the 8943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8940 | 92567 | 10 |
| 8941 | 92569 | 2 |
| 8942 | 92581 | 12 |
| 8943 | 92593 | 12 |
| 8944 | 92623 | 30 |
| 8945 | 92627 | 4 |
| 8946 | 92639 | 12 |
Questions
What is the 8943rd prime number?
92593.
Which prime number is 92593?
92593 is the 8943rd prime number.
What is the sum of the first 8943 primes?
391,925,256.