What is the 8489th prime number?
The 8489th prime number is 87443. The next prime is 87473 (a gap of 30) and the one before is 87433.
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 8489th one is 87443.
- 2
87443 is prime because no prime up to ā87443 ā 295.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8489th prime is close to 8489 Ć ln(8489) ā 76796, and here it is 87443.
- 4
87443 has no twin: neither 87441 nor 87445 is prime.
Primes around the 8489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8486 | 87421 | 14 |
| 8487 | 87427 | 6 |
| 8488 | 87433 | 6 |
| 8489 | 87443 | 10 |
| 8490 | 87473 | 30 |
| 8491 | 87481 | 8 |
| 8492 | 87491 | 10 |
Questions
What is the 8489th prime number?
87443.
Which prime number is 87443?
87443 is the 8489th prime number.
What is the sum of the first 8489 primes?
351,049,556.