What is the 340th prime number?
The 340th prime number is 2287. The next prime is 2293 (a gap of 6) and the one before is 2281.
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 340th one is 2287.
- 2
2287 is prime because no prime up to ā2287 ā 47.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 340th prime is close to 340 Ć ln(340) ā 1982, and here it is 2287.
- 4
2287 has no twin: neither 2285 nor 2289 is prime.
Primes around the 340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 337 | 2269 | 2 |
| 338 | 2273 | 4 |
| 339 | 2281 | 8 |
| 340 | 2287 | 6 |
| 341 | 2293 | 6 |
| 342 | 2297 | 4 |
| 343 | 2309 | 12 |
Questions
What is the 340th prime number?
2287.
Which prime number is 2287?
2287 is the 340th prime number.
What is the sum of the first 340 primes?
356,389.