What is the 1865th prime number?
The 1865th prime number is 16033. The next prime is 16057 (a gap of 24) and the one before is 16007.
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 1865th one is 16033.
- 2
16033 is prime because no prime up to ā16033 ā 126.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1865th prime is close to 1865 Ć ln(1865) ā 14045, and here it is 16033.
- 4
16033 has no twin: neither 16031 nor 16035 is prime.
Primes around the 1865th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1862 | 15991 | 18 |
| 1863 | 16001 | 10 |
| 1864 | 16007 | 6 |
| 1865 | 16033 | 26 |
| 1866 | 16057 | 24 |
| 1867 | 16061 | 4 |
| 1868 | 16063 | 2 |
Questions
What is the 1865th prime number?
16033.
Which prime number is 16033?
16033 is the 1865th prime number.
What is the sum of the first 1865 primes?
14,017,546.