What is the 6350th prime number?
The 6350th prime number is 63367. The next prime is 63377 (a gap of 10) and the one before is 63361.
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 6350th one is 63367.
- 2
63367 is prime because no prime up to ā63367 ā 251.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6350th prime is close to 6350 Ć ln(6350) ā 55602, and here it is 63367.
- 4
63367 has no twin: neither 63365 nor 63369 is prime.
Primes around the 6350th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6347 | 63347 | 10 |
| 6348 | 63353 | 6 |
| 6349 | 63361 | 8 |
| 6350 | 63367 | 6 |
| 6351 | 63377 | 10 |
| 6352 | 63389 | 12 |
| 6353 | 63391 | 2 |
Questions
What is the 6350th prime number?
63367.
Which prime number is 63367?
63367 is the 6350th prime number.
What is the sum of the first 6350 primes?
189,920,583.