What is the 3586th prime number?
The 3586th prime number is 33493. The next prime is 33503 (a gap of 10) and the one before is 33487.
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 3586th one is 33493.
- 2
33493 is prime because no prime up to ā33493 ā 183.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3586th prime is close to 3586 Ć ln(3586) ā 29351, and here it is 33493.
- 4
33493 has no twin: neither 33491 nor 33495 is prime.
Primes around the 3586th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3583 | 33469 | 8 |
| 3584 | 33479 | 10 |
| 3585 | 33487 | 8 |
| 3586 | 33493 | 6 |
| 3587 | 33503 | 10 |
| 3588 | 33521 | 18 |
| 3589 | 33529 | 8 |
Questions
What is the 3586th prime number?
33493.
Which prime number is 33493?
33493 is the 3586th prime number.
What is the sum of the first 3586 primes?
56,507,935.