What is the 3813th prime number?
The 3813th prime number is 35897. The next prime is 35899 (a gap of 2) and the one before is 35879.
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 3813th one is 35897.
- 2
35897 is prime because no prime up to ā35897 ā 189.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3813th prime is close to 3813 Ć ln(3813) ā 31443, and here it is 35897.
- 4
35897 is a twin prime: 35897 and 35899 are both prime.
Primes around the 3813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3810 | 35863 | 12 |
| 3811 | 35869 | 6 |
| 3812 | 35879 | 10 |
| 3813 | 35897 | 18 |
| 3814 | 35899 | 2 |
| 3815 | 35911 | 12 |
| 3816 | 35923 | 12 |
Questions
What is the 3813th prime number?
35897.
Which prime number is 35897?
35897 is the 3813th prime number.
What is the sum of the first 3813 primes?
64,375,566.