What is the 6340th prime number?
The 6340th prime number is 63281. The next prime is 63299 (a gap of 18) and the one before is 63277.
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 6340th one is 63281.
- 2
63281 is prime because no prime up to ā63281 ā 251.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6340th prime is close to 6340 Ć ln(6340) ā 55504, and here it is 63281.
- 4
63281 has no twin: neither 63279 nor 63283 is prime.
Primes around the 6340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6337 | 63241 | 30 |
| 6338 | 63247 | 6 |
| 6339 | 63277 | 30 |
| 6340 | 63281 | 4 |
| 6341 | 63299 | 18 |
| 6342 | 63311 | 12 |
| 6343 | 63313 | 2 |
Questions
What is the 6340th prime number?
63281.
Which prime number is 63281?
63281 is the 6340th prime number.
What is the sum of the first 6340 primes?
189,287,247.