What is the 3564th prime number?
The 3564th prime number is 33289. The next prime is 33301 (a gap of 12) and the one before is 33287.
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 3564th one is 33289.
- 2
33289 is prime because no prime up to ā33289 ā 182.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3564th prime is close to 3564 Ć ln(3564) ā 29149, and here it is 33289.
- 4
33289 is a twin prime: 33287 and 33289 are both prime.
Primes around the 3564th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3561 | 33223 | 12 |
| 3562 | 33247 | 24 |
| 3563 | 33287 | 40 |
| 3564 | 33289 | 2 |
| 3565 | 33301 | 12 |
| 3566 | 33311 | 10 |
| 3567 | 33317 | 6 |
Questions
What is the 3564th prime number?
33289.
Which prime number is 33289?
33289 is the 3564th prime number.
What is the sum of the first 3564 primes?
55,773,329.