What is the 3681st prime number?
The 3681st prime number is 34469. The next prime is 34471 (a gap of 2) and the one before is 34457.
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 3681st one is 34469.
- 2
34469 is prime because no prime up to ā34469 ā 185.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3681st prime is close to 3681 Ć ln(3681) ā 30224, and here it is 34469.
- 4
34469 is a twin prime: 34469 and 34471 are both prime.
Primes around the 3681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3678 | 34429 | 8 |
| 3679 | 34439 | 10 |
| 3680 | 34457 | 18 |
| 3681 | 34469 | 12 |
| 3682 | 34471 | 2 |
| 3683 | 34483 | 12 |
| 3684 | 34487 | 4 |
Questions
What is the 3681st prime number?
34469.
Which prime number is 34469?
34469 is the 3681st prime number.
What is the sum of the first 3681 primes?
59,734,726.