What is the 6563rd prime number?
The 6563rd prime number is 65701. The next prime is 65707 (a gap of 6) and the one before is 65699.
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 6563rd one is 65701.
- 2
65701 is prime because no prime up to ā65701 ā 256.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6563rd prime is close to 6563 Ć ln(6563) ā 57684, and here it is 65701.
- 4
65701 is a twin prime: 65699 and 65701 are both prime.
Primes around the 6563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6560 | 65677 | 20 |
| 6561 | 65687 | 10 |
| 6562 | 65699 | 12 |
| 6563 | 65701 | 2 |
| 6564 | 65707 | 6 |
| 6565 | 65713 | 6 |
| 6566 | 65717 | 4 |
Questions
What is the 6563rd prime number?
65701.
Which prime number is 65701?
65701 is the 6563rd prime number.
What is the sum of the first 6563 primes?
203,665,930.