What is the 8643rd prime number?
The 8643rd prime number is 89231. The next prime is 89237 (a gap of 6) and the one before is 89227.
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 8643rd one is 89231.
- 2
89231 is prime because no prime up to ā89231 ā 298.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8643rd prime is close to 8643 Ć ln(8643) ā 78345, and here it is 89231.
- 4
89231 has no twin: neither 89229 nor 89233 is prime.
Primes around the 8643rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8640 | 89209 | 6 |
| 8641 | 89213 | 4 |
| 8642 | 89227 | 14 |
| 8643 | 89231 | 4 |
| 8644 | 89237 | 6 |
| 8645 | 89261 | 24 |
| 8646 | 89269 | 8 |
Questions
What is the 8643rd prime number?
89231.
Which prime number is 89231?
89231 is the 8643rd prime number.
What is the sum of the first 8643 primes?
364,653,692.