What is the 587th prime number?
The 587th prime number is 4273. The next prime is 4283 (a gap of 10) and the one before is 4271.
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 587th one is 4273.
- 2
4273 is prime because no prime up to ā4273 ā 65.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 587th prime is close to 587 Ć ln(587) ā 3742, and here it is 4273.
- 4
4273 is a twin prime: 4271 and 4273 are both prime.
Primes around the 587th
| Position | Prime | Gap from the previous |
|---|---|---|
| 584 | 4259 | 6 |
| 585 | 4261 | 2 |
| 586 | 4271 | 10 |
| 587 | 4273 | 2 |
| 588 | 4283 | 10 |
| 589 | 4289 | 6 |
| 590 | 4297 | 8 |
Questions
What is the 587th prime number?
4273.
Which prime number is 4273?
4273 is the 587th prime number.
What is the sum of the first 587 primes?
1,166,584.