What is the 341st prime number?
The 341st prime number is 2293. The next prime is 2297 (a gap of 4) and the one before is 2287.
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 341st one is 2293.
- 2
2293 is prime because no prime up to ā2293 ā 47.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 341st prime is close to 341 Ć ln(341) ā 1989, and here it is 2293.
- 4
2293 has no twin: neither 2291 nor 2295 is prime.
Primes around the 341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 338 | 2273 | 4 |
| 339 | 2281 | 8 |
| 340 | 2287 | 6 |
| 341 | 2293 | 6 |
| 342 | 2297 | 4 |
| 343 | 2309 | 12 |
| 344 | 2311 | 2 |
Questions
What is the 341st prime number?
2293.
Which prime number is 2293?
2293 is the 341st prime number.
What is the sum of the first 341 primes?
358,682.