What is the 3805th prime number?
The 3805th prime number is 35809. The next prime is 35831 (a gap of 22) and the one before is 35803.
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 3805th one is 35809.
- 2
35809 is prime because no prime up to ā35809 ā 189.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3805th prime is close to 3805 Ć ln(3805) ā 31369, and here it is 35809.
- 4
35809 has no twin: neither 35807 nor 35811 is prime.
Primes around the 3805th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3802 | 35797 | 26 |
| 3803 | 35801 | 4 |
| 3804 | 35803 | 2 |
| 3805 | 35809 | 6 |
| 3806 | 35831 | 22 |
| 3807 | 35837 | 6 |
| 3808 | 35839 | 2 |
Questions
What is the 3805th prime number?
35809.
Which prime number is 35809?
35809 is the 3805th prime number.
What is the sum of the first 3805 primes?
64,088,700.