What is the 351st prime number?
The 351st prime number is 2371. The next prime is 2377 (a gap of 6) and the one before is 2357.
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 351st one is 2371.
- 2
2371 is prime because no prime up to ā2371 ā 48.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 351st prime is close to 351 Ć ln(351) ā 2057, and here it is 2371.
- 4
2371 has no twin: neither 2369 nor 2373 is prime.
Primes around the 351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 348 | 2347 | 6 |
| 349 | 2351 | 4 |
| 350 | 2357 | 6 |
| 351 | 2371 | 14 |
| 352 | 2377 | 6 |
| 353 | 2381 | 4 |
| 354 | 2383 | 2 |
Questions
What is the 351st prime number?
2371.
Which prime number is 2371?
2371 is the 351st prime number.
What is the sum of the first 351 primes?
382,038.