What is the 589th prime number?
The 589th prime number is 4289. The next prime is 4297 (a gap of 8) and the one before is 4283.
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 589th one is 4289.
- 2
4289 is prime because no prime up to ā4289 ā 65.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 589th prime is close to 589 Ć ln(589) ā 3757, and here it is 4289.
- 4
4289 has no twin: neither 4287 nor 4291 is prime.
Primes around the 589th
| Position | Prime | Gap from the previous |
|---|---|---|
| 586 | 4271 | 10 |
| 587 | 4273 | 2 |
| 588 | 4283 | 10 |
| 589 | 4289 | 6 |
| 590 | 4297 | 8 |
| 591 | 4327 | 30 |
| 592 | 4337 | 10 |
Questions
What is the 589th prime number?
4289.
Which prime number is 4289?
4289 is the 589th prime number.
What is the sum of the first 589 primes?
1,175,156.