What is the 8642nd prime number?
The 8642nd prime number is 89227. The next prime is 89231 (a gap of 4) and the one before is 89213.
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 8642nd one is 89227.
- 2
89227 is prime because no prime up to ā89227 ā 298.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8642nd prime is close to 8642 Ć ln(8642) ā 78334, and here it is 89227.
- 4
89227 has no twin: neither 89225 nor 89229 is prime.
Primes around the 8642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8639 | 89203 | 14 |
| 8640 | 89209 | 6 |
| 8641 | 89213 | 4 |
| 8642 | 89227 | 14 |
| 8643 | 89231 | 4 |
| 8644 | 89237 | 6 |
| 8645 | 89261 | 24 |
Questions
What is the 8642nd prime number?
89227.
Which prime number is 89227?
89227 is the 8642nd prime number.
What is the sum of the first 8642 primes?
364,564,461.