What is the 6564th prime number?
The 6564th prime number is 65707. The next prime is 65713 (a gap of 6) and the one before is 65701.
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 6564th one is 65707.
- 2
65707 is prime because no prime up to ā65707 ā 256.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6564th prime is close to 6564 Ć ln(6564) ā 57693, and here it is 65707.
- 4
65707 has no twin: neither 65705 nor 65709 is prime.
Primes around the 6564th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6561 | 65687 | 10 |
| 6562 | 65699 | 12 |
| 6563 | 65701 | 2 |
| 6564 | 65707 | 6 |
| 6565 | 65713 | 6 |
| 6566 | 65717 | 4 |
| 6567 | 65719 | 2 |
Questions
What is the 6564th prime number?
65707.
Which prime number is 65707?
65707 is the 6564th prime number.
What is the sum of the first 6564 primes?
203,731,637.