What is the 3563rd prime number?
The 3563rd prime number is 33287. The next prime is 33289 (a gap of 2) and the one before is 33247.
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 3563rd one is 33287.
- 2
33287 is prime because no prime up to ā33287 ā 182.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3563rd prime is close to 3563 Ć ln(3563) ā 29139, and here it is 33287.
- 4
33287 is a twin prime: 33287 and 33289 are both prime.
Primes around the 3563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3560 | 33211 | 8 |
| 3561 | 33223 | 12 |
| 3562 | 33247 | 24 |
| 3563 | 33287 | 40 |
| 3564 | 33289 | 2 |
| 3565 | 33301 | 12 |
| 3566 | 33311 | 10 |
Questions
What is the 3563rd prime number?
33287.
Which prime number is 33287?
33287 is the 3563rd prime number.
What is the sum of the first 3563 primes?
55,740,040.