What is the 3590th prime number?
The 3590th prime number is 33533. The next prime is 33547 (a gap of 14) and the one before is 33529.
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 3590th one is 33533.
- 2
33533 is prime because no prime up to ā33533 ā 183.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3590th prime is close to 3590 Ć ln(3590) ā 29387, and here it is 33533.
- 4
33533 has no twin: neither 33531 nor 33535 is prime.
Primes around the 3590th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3587 | 33503 | 10 |
| 3588 | 33521 | 18 |
| 3589 | 33529 | 8 |
| 3590 | 33533 | 4 |
| 3591 | 33547 | 14 |
| 3592 | 33563 | 16 |
| 3593 | 33569 | 6 |
Questions
What is the 3590th prime number?
33533.
Which prime number is 33533?
33533 is the 3590th prime number.
What is the sum of the first 3590 primes?
56,642,021.