What is the 3584th prime number?
The 3584th prime number is 33479. The next prime is 33487 (a gap of 8) and the one before is 33469.
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 3584th one is 33479.
- 2
33479 is prime because no prime up to ā33479 ā 182.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3584th prime is close to 3584 Ć ln(3584) ā 29332, and here it is 33479.
- 4
33479 has no twin: neither 33477 nor 33481 is prime.
Primes around the 3584th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3581 | 33457 | 30 |
| 3582 | 33461 | 4 |
| 3583 | 33469 | 8 |
| 3584 | 33479 | 10 |
| 3585 | 33487 | 8 |
| 3586 | 33493 | 6 |
| 3587 | 33503 | 10 |
Questions
What is the 3584th prime number?
33479.
Which prime number is 33479?
33479 is the 3584th prime number.
What is the sum of the first 3584 primes?
56,440,955.