What is the 355th prime number?
The 355th prime number is 2389. The next prime is 2393 (a gap of 4) and the one before is 2383.
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 355th one is 2389.
- 2
2389 is prime because no prime up to ā2389 ā 48.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 355th prime is close to 355 Ć ln(355) ā 2085, and here it is 2389.
- 4
2389 has no twin: neither 2387 nor 2391 is prime.
Primes around the 355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 352 | 2377 | 6 |
| 353 | 2381 | 4 |
| 354 | 2383 | 2 |
| 355 | 2389 | 6 |
| 356 | 2393 | 4 |
| 357 | 2399 | 6 |
| 358 | 2411 | 12 |
Questions
What is the 355th prime number?
2389.
Which prime number is 2389?
2389 is the 355th prime number.
What is the sum of the first 355 primes?
391,568.