What is the 563rd prime number?
The 563rd prime number is 4091. The next prime is 4093 (a gap of 2) and the one before is 4079.
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 563rd one is 4091.
- 2
4091 is prime because no prime up to ā4091 ā 63.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 563rd prime is close to 563 Ć ln(563) ā 3566, and here it is 4091.
- 4
4091 is a twin prime: 4091 and 4093 are both prime.
Primes around the 563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 560 | 4057 | 6 |
| 561 | 4073 | 16 |
| 562 | 4079 | 6 |
| 563 | 4091 | 12 |
| 564 | 4093 | 2 |
| 565 | 4099 | 6 |
| 566 | 4111 | 12 |
Questions
What is the 563rd prime number?
4091.
Which prime number is 4091?
4091 is the 563rd prime number.
What is the sum of the first 563 primes?
1,065,998.