What is the 3816th prime number?
The 3816th prime number is 35923. The next prime is 35933 (a gap of 10) and the one before is 35911.
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 3816th one is 35923.
- 2
35923 is prime because no prime up to ā35923 ā 189.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3816th prime is close to 3816 Ć ln(3816) ā 31470, and here it is 35923.
- 4
35923 has no twin: neither 35921 nor 35925 is prime.
Primes around the 3816th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3813 | 35897 | 18 |
| 3814 | 35899 | 2 |
| 3815 | 35911 | 12 |
| 3816 | 35923 | 12 |
| 3817 | 35933 | 10 |
| 3818 | 35951 | 18 |
| 3819 | 35963 | 12 |
Questions
What is the 3816th prime number?
35923.
Which prime number is 35923?
35923 is the 3816th prime number.
What is the sum of the first 3816 primes?
64,483,299.