What is the 358th prime number?
The 358th prime number is 2411. The next prime is 2417 (a gap of 6) and the one before is 2399.
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 358th one is 2411.
- 2
2411 is prime because no prime up to ā2411 ā 49.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 358th prime is close to 358 Ć ln(358) ā 2105, and here it is 2411.
- 4
2411 has no twin: neither 2409 nor 2413 is prime.
Primes around the 358th
| Position | Prime | Gap from the previous |
|---|---|---|
| 355 | 2389 | 6 |
| 356 | 2393 | 4 |
| 357 | 2399 | 6 |
| 358 | 2411 | 12 |
| 359 | 2417 | 6 |
| 360 | 2423 | 6 |
| 361 | 2437 | 14 |
Questions
What is the 358th prime number?
2411.
Which prime number is 2411?
2411 is the 358th prime number.
What is the sum of the first 358 primes?
398,771.