What is the 1846th prime number?
The 1846th prime number is 15817. The next prime is 15823 (a gap of 6) and the one before is 15809.
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 1846th one is 15817.
- 2
15817 is prime because no prime up to ā15817 ā 125.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1846th prime is close to 1846 Ć ln(1846) ā 13883, and here it is 15817.
- 4
15817 has no twin: neither 15815 nor 15819 is prime.
Primes around the 1846th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1843 | 15797 | 6 |
| 1844 | 15803 | 6 |
| 1845 | 15809 | 6 |
| 1846 | 15817 | 8 |
| 1847 | 15823 | 6 |
| 1848 | 15859 | 36 |
| 1849 | 15877 | 18 |
Questions
What is the 1846th prime number?
15817.
Which prime number is 15817?
15817 is the 1846th prime number.
What is the sum of the first 1846 primes?
13,714,895.