What is the 3565th prime number?
The 3565th prime number is 33301. The next prime is 33311 (a gap of 10) and the one before is 33289.
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 3565th one is 33301.
- 2
33301 is prime because no prime up to ā33301 ā 182.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3565th prime is close to 3565 Ć ln(3565) ā 29158, and here it is 33301.
- 4
33301 has no twin: neither 33299 nor 33303 is prime.
Primes around the 3565th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3562 | 33247 | 24 |
| 3563 | 33287 | 40 |
| 3564 | 33289 | 2 |
| 3565 | 33301 | 12 |
| 3566 | 33311 | 10 |
| 3567 | 33317 | 6 |
| 3568 | 33329 | 12 |
Questions
What is the 3565th prime number?
33301.
Which prime number is 33301?
33301 is the 3565th prime number.
What is the sum of the first 3565 primes?
55,806,630.