What is the 3682nd prime number?
The 3682nd prime number is 34471. The next prime is 34483 (a gap of 12) and the one before is 34469.
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 3682nd one is 34471.
- 2
34471 is prime because no prime up to ā34471 ā 185.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3682nd prime is close to 3682 Ć ln(3682) ā 30234, and here it is 34471.
- 4
34471 is a twin prime: 34469 and 34471 are both prime.
Primes around the 3682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3679 | 34439 | 10 |
| 3680 | 34457 | 18 |
| 3681 | 34469 | 12 |
| 3682 | 34471 | 2 |
| 3683 | 34483 | 12 |
| 3684 | 34487 | 4 |
| 3685 | 34499 | 12 |
Questions
What is the 3682nd prime number?
34471.
Which prime number is 34471?
34471 is the 3682nd prime number.
What is the sum of the first 3682 primes?
59,769,197.