What is the 6560th prime number?
The 6560th prime number is 65677. The next prime is 65687 (a gap of 10) and the one before is 65657.
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 6560th one is 65677.
- 2
65677 is prime because no prime up to ā65677 ā 256.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6560th prime is close to 6560 Ć ln(6560) ā 57654, and here it is 65677.
- 4
65677 has no twin: neither 65675 nor 65679 is prime.
Primes around the 6560th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6557 | 65647 | 14 |
| 6558 | 65651 | 4 |
| 6559 | 65657 | 6 |
| 6560 | 65677 | 20 |
| 6561 | 65687 | 10 |
| 6562 | 65699 | 12 |
| 6563 | 65701 | 2 |
Questions
What is the 6560th prime number?
65677.
Which prime number is 65677?
65677 is the 6560th prime number.
What is the sum of the first 6560 primes?
203,468,843.