What is the 3812th prime number?
The 3812th prime number is 35879. The next prime is 35897 (a gap of 18) and the one before is 35869.
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 3812th one is 35879.
- 2
35879 is prime because no prime up to ā35879 ā 189.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3812th prime is close to 3812 Ć ln(3812) ā 31433, and here it is 35879.
- 4
35879 has no twin: neither 35877 nor 35881 is prime.
Primes around the 3812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3809 | 35851 | 12 |
| 3810 | 35863 | 12 |
| 3811 | 35869 | 6 |
| 3812 | 35879 | 10 |
| 3813 | 35897 | 18 |
| 3814 | 35899 | 2 |
| 3815 | 35911 | 12 |
Questions
What is the 3812th prime number?
35879.
Which prime number is 35879?
35879 is the 3812th prime number.
What is the sum of the first 3812 primes?
64,339,669.