What is the 3685th prime number?
The 3685th prime number is 34499. The next prime is 34501 (a gap of 2) and the one before is 34487.
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 3685th one is 34499.
- 2
34499 is prime because no prime up to ā34499 ā 185.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3685th prime is close to 3685 Ć ln(3685) ā 30261, and here it is 34499.
- 4
34499 is a twin prime: 34499 and 34501 are both prime.
Primes around the 3685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3682 | 34471 | 2 |
| 3683 | 34483 | 12 |
| 3684 | 34487 | 4 |
| 3685 | 34499 | 12 |
| 3686 | 34501 | 2 |
| 3687 | 34511 | 10 |
| 3688 | 34513 | 2 |
Questions
What is the 3685th prime number?
34499.
Which prime number is 34499?
34499 is the 3685th prime number.
What is the sum of the first 3685 primes?
59,872,666.