What is the 6561st prime number?
The 6561st prime number is 65687. The next prime is 65699 (a gap of 12) and the one before is 65677.
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 6561st one is 65687.
- 2
65687 is prime because no prime up to ā65687 ā 256.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6561st prime is close to 6561 Ć ln(6561) ā 57664, and here it is 65687.
- 4
65687 has no twin: neither 65685 nor 65689 is prime.
Primes around the 6561st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6558 | 65651 | 4 |
| 6559 | 65657 | 6 |
| 6560 | 65677 | 20 |
| 6561 | 65687 | 10 |
| 6562 | 65699 | 12 |
| 6563 | 65701 | 2 |
| 6564 | 65707 | 6 |
Questions
What is the 6561st prime number?
65687.
Which prime number is 65687?
65687 is the 6561st prime number.
What is the sum of the first 6561 primes?
203,534,530.