What is the 3832nd prime number?
The 3832nd prime number is 36073. The next prime is 36083 (a gap of 10) and the one before is 36067.
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 3832nd one is 36073.
- 2
36073 is prime because no prime up to ā36073 ā 189.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3832nd prime is close to 3832 Ć ln(3832) ā 31618, and here it is 36073.
- 4
36073 has no twin: neither 36071 nor 36075 is prime.
Primes around the 3832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3829 | 36037 | 20 |
| 3830 | 36061 | 24 |
| 3831 | 36067 | 6 |
| 3832 | 36073 | 6 |
| 3833 | 36083 | 10 |
| 3834 | 36097 | 14 |
| 3835 | 36107 | 10 |
Questions
What is the 3832nd prime number?
36073.
Which prime number is 36073?
36073 is the 3832nd prime number.
What is the sum of the first 3832 primes?
65,059,353.