What is the 3811th prime number?
The 3811th prime number is 35869. The next prime is 35879 (a gap of 10) and the one before is 35863.
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 3811th one is 35869.
- 2
35869 is prime because no prime up to ā35869 ā 189.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3811th prime is close to 3811 Ć ln(3811) ā 31424, and here it is 35869.
- 4
35869 has no twin: neither 35867 nor 35871 is prime.
Primes around the 3811th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3808 | 35839 | 2 |
| 3809 | 35851 | 12 |
| 3810 | 35863 | 12 |
| 3811 | 35869 | 6 |
| 3812 | 35879 | 10 |
| 3813 | 35897 | 18 |
| 3814 | 35899 | 2 |
Questions
What is the 3811th prime number?
35869.
Which prime number is 35869?
35869 is the 3811th prime number.
What is the sum of the first 3811 primes?
64,303,790.