What is the 6438th prime number?
The 6438th prime number is 64301. The next prime is 64303 (a gap of 2) and the one before is 64283.
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 6438th one is 64301.
- 2
64301 is prime because no prime up to ā64301 ā 253.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6438th prime is close to 6438 Ć ln(6438) ā 56461, and here it is 64301.
- 4
64301 is a twin prime: 64301 and 64303 are both prime.
Primes around the 6438th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6435 | 64271 | 34 |
| 6436 | 64279 | 8 |
| 6437 | 64283 | 4 |
| 6438 | 64301 | 18 |
| 6439 | 64303 | 2 |
| 6440 | 64319 | 16 |
| 6441 | 64327 | 8 |
Questions
What is the 6438th prime number?
64301.
Which prime number is 64301?
64301 is the 6438th prime number.
What is the sum of the first 6438 primes?
195,534,817.