What is the 3831st prime number?
The 3831st prime number is 36067. The next prime is 36073 (a gap of 6) and the one before is 36061.
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 3831st one is 36067.
- 2
36067 is prime because no prime up to ā36067 ā 189.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3831st prime is close to 3831 Ć ln(3831) ā 31609, and here it is 36067.
- 4
36067 has no twin: neither 36065 nor 36069 is prime.
Primes around the 3831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3828 | 36017 | 4 |
| 3829 | 36037 | 20 |
| 3830 | 36061 | 24 |
| 3831 | 36067 | 6 |
| 3832 | 36073 | 6 |
| 3833 | 36083 | 10 |
| 3834 | 36097 | 14 |
Questions
What is the 3831st prime number?
36067.
Which prime number is 36067?
36067 is the 3831st prime number.
What is the sum of the first 3831 primes?
65,023,280.