What is the 6364th prime number?
The 6364th prime number is 63493. The next prime is 63499 (a gap of 6) and the one before is 63487.
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 6364th one is 63493.
- 2
63493 is prime because no prime up to ā63493 ā 251.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6364th prime is close to 6364 Ć ln(6364) ā 55739, and here it is 63493.
- 4
63493 has no twin: neither 63491 nor 63495 is prime.
Primes around the 6364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6361 | 63467 | 4 |
| 6362 | 63473 | 6 |
| 6363 | 63487 | 14 |
| 6364 | 63493 | 6 |
| 6365 | 63499 | 6 |
| 6366 | 63521 | 22 |
| 6367 | 63527 | 6 |
Questions
What is the 6364th prime number?
63493.
Which prime number is 63493?
63493 is the 6364th prime number.
What is the sum of the first 6364 primes?
190,808,651.