What is the 3815th prime number?
The 3815th prime number is 35911. The next prime is 35923 (a gap of 12) and the one before is 35899.
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 3815th one is 35911.
- 2
35911 is prime because no prime up to ā35911 ā 189.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3815th prime is close to 3815 Ć ln(3815) ā 31461, and here it is 35911.
- 4
35911 has no twin: neither 35909 nor 35913 is prime.
Primes around the 3815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3812 | 35879 | 10 |
| 3813 | 35897 | 18 |
| 3814 | 35899 | 2 |
| 3815 | 35911 | 12 |
| 3816 | 35923 | 12 |
| 3817 | 35933 | 10 |
| 3818 | 35951 | 18 |
Questions
What is the 3815th prime number?
35911.
Which prime number is 35911?
35911 is the 3815th prime number.
What is the sum of the first 3815 primes?
64,447,376.