What is the 6562nd prime number?
The 6562nd prime number is 65699. The next prime is 65701 (a gap of 2) and the one before is 65687.
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 6562nd one is 65699.
- 2
65699 is prime because no prime up to ā65699 ā 256.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6562nd prime is close to 6562 Ć ln(6562) ā 57674, and here it is 65699.
- 4
65699 is a twin prime: 65699 and 65701 are both prime.
Primes around the 6562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6559 | 65657 | 6 |
| 6560 | 65677 | 20 |
| 6561 | 65687 | 10 |
| 6562 | 65699 | 12 |
| 6563 | 65701 | 2 |
| 6564 | 65707 | 6 |
| 6565 | 65713 | 6 |
Questions
What is the 6562nd prime number?
65699.
Which prime number is 65699?
65699 is the 6562nd prime number.
What is the sum of the first 6562 primes?
203,600,229.