What is the 3807th prime number?
The 3807th prime number is 35837. The next prime is 35839 (a gap of 2) and the one before is 35831.
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 3807th one is 35837.
- 2
35837 is prime because no prime up to ā35837 ā 189.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3807th prime is close to 3807 Ć ln(3807) ā 31387, and here it is 35837.
- 4
35837 is a twin prime: 35837 and 35839 are both prime.
Primes around the 3807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3804 | 35803 | 2 |
| 3805 | 35809 | 6 |
| 3806 | 35831 | 22 |
| 3807 | 35837 | 6 |
| 3808 | 35839 | 2 |
| 3809 | 35851 | 12 |
| 3810 | 35863 | 12 |
Questions
What is the 3807th prime number?
35837.
Which prime number is 35837?
35837 is the 3807th prime number.
What is the sum of the first 3807 primes?
64,160,368.