What is the 3833rd prime number?
The 3833rd prime number is 36083. The next prime is 36097 (a gap of 14) and the one before is 36073.
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 3833rd one is 36083.
- 2
36083 is prime because no prime up to ā36083 ā 189.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3833rd prime is close to 3833 Ć ln(3833) ā 31628, and here it is 36083.
- 4
36083 has no twin: neither 36081 nor 36085 is prime.
Primes around the 3833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3830 | 36061 | 24 |
| 3831 | 36067 | 6 |
| 3832 | 36073 | 6 |
| 3833 | 36083 | 10 |
| 3834 | 36097 | 14 |
| 3835 | 36107 | 10 |
| 3836 | 36109 | 2 |
Questions
What is the 3833rd prime number?
36083.
Which prime number is 36083?
36083 is the 3833rd prime number.
What is the sum of the first 3833 primes?
65,095,436.