What is the 6559th prime number?
The 6559th prime number is 65657. The next prime is 65677 (a gap of 20) and the one before is 65651.
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 6559th one is 65657.
- 2
65657 is prime because no prime up to ā65657 ā 256.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6559th prime is close to 6559 Ć ln(6559) ā 57644, and here it is 65657.
- 4
65657 has no twin: neither 65655 nor 65659 is prime.
Primes around the 6559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6556 | 65633 | 4 |
| 6557 | 65647 | 14 |
| 6558 | 65651 | 4 |
| 6559 | 65657 | 6 |
| 6560 | 65677 | 20 |
| 6561 | 65687 | 10 |
| 6562 | 65699 | 12 |
Questions
What is the 6559th prime number?
65657.
Which prime number is 65657?
65657 is the 6559th prime number.
What is the sum of the first 6559 primes?
203,403,166.