What is the 3810th prime number?
The 3810th prime number is 35863. The next prime is 35869 (a gap of 6) and the one before is 35851.
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 3810th one is 35863.
- 2
35863 is prime because no prime up to ā35863 ā 189.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3810th prime is close to 3810 Ć ln(3810) ā 31415, and here it is 35863.
- 4
35863 has no twin: neither 35861 nor 35865 is prime.
Primes around the 3810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3807 | 35837 | 6 |
| 3808 | 35839 | 2 |
| 3809 | 35851 | 12 |
| 3810 | 35863 | 12 |
| 3811 | 35869 | 6 |
| 3812 | 35879 | 10 |
| 3813 | 35897 | 18 |
Questions
What is the 3810th prime number?
35863.
Which prime number is 35863?
35863 is the 3810th prime number.
What is the sum of the first 3810 primes?
64,267,921.