What is the 588th prime number?
The 588th prime number is 4283. The next prime is 4289 (a gap of 6) and the one before is 4273.
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 588th one is 4283.
- 2
4283 is prime because no prime up to ā4283 ā 65.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 588th prime is close to 588 Ć ln(588) ā 3750, and here it is 4283.
- 4
4283 has no twin: neither 4281 nor 4285 is prime.
Primes around the 588th
| Position | Prime | Gap from the previous |
|---|---|---|
| 585 | 4261 | 2 |
| 586 | 4271 | 10 |
| 587 | 4273 | 2 |
| 588 | 4283 | 10 |
| 589 | 4289 | 6 |
| 590 | 4297 | 8 |
| 591 | 4327 | 30 |
Questions
What is the 588th prime number?
4283.
Which prime number is 4283?
4283 is the 588th prime number.
What is the sum of the first 588 primes?
1,170,867.