What is the 3505th prime number?
The 3505th prime number is 32653. The next prime is 32687 (a gap of 34) and the one before is 32647.
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 3505th one is 32653.
- 2
32653 is prime because no prime up to ā32653 ā 180.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3505th prime is close to 3505 Ć ln(3505) ā 28608, and here it is 32653.
- 4
32653 has no twin: neither 32651 nor 32655 is prime.
Primes around the 3505th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3502 | 32621 | 10 |
| 3503 | 32633 | 12 |
| 3504 | 32647 | 14 |
| 3505 | 32653 | 6 |
| 3506 | 32687 | 34 |
| 3507 | 32693 | 6 |
| 3508 | 32707 | 14 |
Questions
What is the 3505th prime number?
32653.
Which prime number is 32653?
32653 is the 3505th prime number.
What is the sum of the first 3505 primes?
53,827,778.