What is the 6342nd prime number?
The 6342nd prime number is 63311. The next prime is 63313 (a gap of 2) and the one before is 63299.
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 6342nd one is 63311.
- 2
63311 is prime because no prime up to ā63311 ā 251.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6342nd prime is close to 6342 Ć ln(6342) ā 55524, and here it is 63311.
- 4
63311 is a twin prime: 63311 and 63313 are both prime.
Primes around the 6342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6339 | 63277 | 30 |
| 6340 | 63281 | 4 |
| 6341 | 63299 | 18 |
| 6342 | 63311 | 12 |
| 6343 | 63313 | 2 |
| 6344 | 63317 | 4 |
| 6345 | 63331 | 14 |
Questions
What is the 6342nd prime number?
63311.
Which prime number is 63311?
63311 is the 6342nd prime number.
What is the sum of the first 6342 primes?
189,413,857.