What is the 3809th prime number?
The 3809th prime number is 35851. The next prime is 35863 (a gap of 12) and the one before is 35839.
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 3809th one is 35851.
- 2
35851 is prime because no prime up to ā35851 ā 189.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3809th prime is close to 3809 Ć ln(3809) ā 31406, and here it is 35851.
- 4
35851 has no twin: neither 35849 nor 35853 is prime.
Primes around the 3809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3806 | 35831 | 22 |
| 3807 | 35837 | 6 |
| 3808 | 35839 | 2 |
| 3809 | 35851 | 12 |
| 3810 | 35863 | 12 |
| 3811 | 35869 | 6 |
| 3812 | 35879 | 10 |
Questions
What is the 3809th prime number?
35851.
Which prime number is 35851?
35851 is the 3809th prime number.
What is the sum of the first 3809 primes?
64,232,058.