What is the 353rd prime number?
The 353rd prime number is 2381. The next prime is 2383 (a gap of 2) and the one before is 2377.
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 353rd one is 2381.
- 2
2381 is prime because no prime up to ā2381 ā 48.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 353rd prime is close to 353 Ć ln(353) ā 2071, and here it is 2381.
- 4
2381 is a twin prime: 2381 and 2383 are both prime.
Primes around the 353rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 350 | 2357 | 6 |
| 351 | 2371 | 14 |
| 352 | 2377 | 6 |
| 353 | 2381 | 4 |
| 354 | 2383 | 2 |
| 355 | 2389 | 6 |
| 356 | 2393 | 4 |
Questions
What is the 353rd prime number?
2381.
Which prime number is 2381?
2381 is the 353rd prime number.
What is the sum of the first 353 primes?
386,796.