What is the 354th prime number?
The 354th prime number is 2383. The next prime is 2389 (a gap of 6) and the one before is 2381.
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 354th one is 2383.
- 2
2383 is prime because no prime up to ā2383 ā 48.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 354th prime is close to 354 Ć ln(354) ā 2078, and here it is 2383.
- 4
2383 is a twin prime: 2381 and 2383 are both prime.
Primes around the 354th
| Position | Prime | Gap from the previous |
|---|---|---|
| 351 | 2371 | 14 |
| 352 | 2377 | 6 |
| 353 | 2381 | 4 |
| 354 | 2383 | 2 |
| 355 | 2389 | 6 |
| 356 | 2393 | 4 |
| 357 | 2399 | 6 |
Questions
What is the 354th prime number?
2383.
Which prime number is 2383?
2383 is the 354th prime number.
What is the sum of the first 354 primes?
389,179.