What is the 3504th prime number?
The 3504th prime number is 32647. The next prime is 32653 (a gap of 6) and the one before is 32633.
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 3504th one is 32647.
- 2
32647 is prime because no prime up to ā32647 ā 180.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3504th prime is close to 3504 Ć ln(3504) ā 28598, and here it is 32647.
- 4
32647 has no twin: neither 32645 nor 32649 is prime.
Primes around the 3504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3501 | 32611 | 2 |
| 3502 | 32621 | 10 |
| 3503 | 32633 | 12 |
| 3504 | 32647 | 14 |
| 3505 | 32653 | 6 |
| 3506 | 32687 | 34 |
| 3507 | 32693 | 6 |
Questions
What is the 3504th prime number?
32647.
Which prime number is 32647?
32647 is the 3504th prime number.
What is the sum of the first 3504 primes?
53,795,125.