What is the 1864th prime number?
The 1864th prime number is 16007. The next prime is 16033 (a gap of 26) and the one before is 16001.
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 1864th one is 16007.
- 2
16007 is prime because no prime up to ā16007 ā 126.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1864th prime is close to 1864 Ć ln(1864) ā 14037, and here it is 16007.
- 4
16007 has no twin: neither 16005 nor 16009 is prime.
Primes around the 1864th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1861 | 15973 | 2 |
| 1862 | 15991 | 18 |
| 1863 | 16001 | 10 |
| 1864 | 16007 | 6 |
| 1865 | 16033 | 26 |
| 1866 | 16057 | 24 |
| 1867 | 16061 | 4 |
Questions
What is the 1864th prime number?
16007.
Which prime number is 16007?
16007 is the 1864th prime number.
What is the sum of the first 1864 primes?
14,001,513.