What is the 3585th prime number?
The 3585th prime number is 33487. The next prime is 33493 (a gap of 6) and the one before is 33479.
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 3585th one is 33487.
- 2
33487 is prime because no prime up to ā33487 ā 182.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3585th prime is close to 3585 Ć ln(3585) ā 29341, and here it is 33487.
- 4
33487 has no twin: neither 33485 nor 33489 is prime.
Primes around the 3585th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3582 | 33461 | 4 |
| 3583 | 33469 | 8 |
| 3584 | 33479 | 10 |
| 3585 | 33487 | 8 |
| 3586 | 33493 | 6 |
| 3587 | 33503 | 10 |
| 3588 | 33521 | 18 |
Questions
What is the 3585th prime number?
33487.
Which prime number is 33487?
33487 is the 3585th prime number.
What is the sum of the first 3585 primes?
56,474,442.