What is the 3506th prime number?
The 3506th prime number is 32687. The next prime is 32693 (a gap of 6) and the one before is 32653.
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 3506th one is 32687.
- 2
32687 is prime because no prime up to ā32687 ā 180.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3506th prime is close to 3506 Ć ln(3506) ā 28617, and here it is 32687.
- 4
32687 has no twin: neither 32685 nor 32689 is prime.
Primes around the 3506th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3503 | 32633 | 12 |
| 3504 | 32647 | 14 |
| 3505 | 32653 | 6 |
| 3506 | 32687 | 34 |
| 3507 | 32693 | 6 |
| 3508 | 32707 | 14 |
| 3509 | 32713 | 6 |
Questions
What is the 3506th prime number?
32687.
Which prime number is 32687?
32687 is the 3506th prime number.
What is the sum of the first 3506 primes?
53,860,465.