What is the 3830th prime number?
The 3830th prime number is 36061. The next prime is 36067 (a gap of 6) and the one before is 36037.
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 3830th one is 36061.
- 2
36061 is prime because no prime up to ā36061 ā 189.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3830th prime is close to 3830 Ć ln(3830) ā 31600, and here it is 36061.
- 4
36061 has no twin: neither 36059 nor 36063 is prime.
Primes around the 3830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3827 | 36013 | 2 |
| 3828 | 36017 | 4 |
| 3829 | 36037 | 20 |
| 3830 | 36061 | 24 |
| 3831 | 36067 | 6 |
| 3832 | 36073 | 6 |
| 3833 | 36083 | 10 |
Questions
What is the 3830th prime number?
36061.
Which prime number is 36061?
36061 is the 3830th prime number.
What is the sum of the first 3830 primes?
64,987,213.