What is the 8641st prime number?
The 8641st prime number is 89213. The next prime is 89227 (a gap of 14) and the one before is 89209.
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 8641st one is 89213.
- 2
89213 is prime because no prime up to ā89213 ā 298.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8641st prime is close to 8641 Ć ln(8641) ā 78324, and here it is 89213.
- 4
89213 has no twin: neither 89211 nor 89215 is prime.
Primes around the 8641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8638 | 89189 | 36 |
| 8639 | 89203 | 14 |
| 8640 | 89209 | 6 |
| 8641 | 89213 | 4 |
| 8642 | 89227 | 14 |
| 8643 | 89231 | 4 |
| 8644 | 89237 | 6 |
Questions
What is the 8641st prime number?
89213.
Which prime number is 89213?
89213 is the 8641st prime number.
What is the sum of the first 8641 primes?
364,475,234.