What is the 590th prime number?
The 590th prime number is 4297. The next prime is 4327 (a gap of 30) and the one before is 4289.
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 590th one is 4297.
- 2
4297 is prime because no prime up to ā4297 ā 65.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 590th prime is close to 590 Ć ln(590) ā 3764, and here it is 4297.
- 4
4297 has no twin: neither 4295 nor 4299 is prime.
Primes around the 590th
| Position | Prime | Gap from the previous |
|---|---|---|
| 587 | 4273 | 2 |
| 588 | 4283 | 10 |
| 589 | 4289 | 6 |
| 590 | 4297 | 8 |
| 591 | 4327 | 30 |
| 592 | 4337 | 10 |
| 593 | 4339 | 2 |
Questions
What is the 590th prime number?
4297.
Which prime number is 4297?
4297 is the 590th prime number.
What is the sum of the first 590 primes?
1,179,453.