What is the 3829th prime number?
The 3829th prime number is 36037. The next prime is 36061 (a gap of 24) and the one before is 36017.
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 3829th one is 36037.
- 2
36037 is prime because no prime up to ā36037 ā 189.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3829th prime is close to 3829 Ć ln(3829) ā 31591, and here it is 36037.
- 4
36037 has no twin: neither 36035 nor 36039 is prime.
Primes around the 3829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3826 | 36011 | 4 |
| 3827 | 36013 | 2 |
| 3828 | 36017 | 4 |
| 3829 | 36037 | 20 |
| 3830 | 36061 | 24 |
| 3831 | 36067 | 6 |
| 3832 | 36073 | 6 |
Questions
What is the 3829th prime number?
36037.
Which prime number is 36037?
36037 is the 3829th prime number.
What is the sum of the first 3829 primes?
64,951,152.