What is the 349th prime number?
The 349th prime number is 2351. The next prime is 2357 (a gap of 6) and the one before is 2347.
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 349th one is 2351.
- 2
2351 is prime because no prime up to ā2351 ā 48.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 349th prime is close to 349 Ć ln(349) ā 2043, and here it is 2351.
- 4
2351 has no twin: neither 2349 nor 2353 is prime.
Primes around the 349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 346 | 2339 | 6 |
| 347 | 2341 | 2 |
| 348 | 2347 | 6 |
| 349 | 2351 | 4 |
| 350 | 2357 | 6 |
| 351 | 2371 | 14 |
| 352 | 2377 | 6 |
Questions
What is the 349th prime number?
2351.
Which prime number is 2351?
2351 is the 349th prime number.
What is the sum of the first 349 primes?
377,310.