What is the 1848th prime number?
The 1848th prime number is 15859. The next prime is 15877 (a gap of 18) and the one before is 15823.
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 1848th one is 15859.
- 2
15859 is prime because no prime up to ā15859 ā 125.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1848th prime is close to 1848 Ć ln(1848) ā 13900, and here it is 15859.
- 4
15859 has no twin: neither 15857 nor 15861 is prime.
Primes around the 1848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1845 | 15809 | 6 |
| 1846 | 15817 | 8 |
| 1847 | 15823 | 6 |
| 1848 | 15859 | 36 |
| 1849 | 15877 | 18 |
| 1850 | 15881 | 4 |
| 1851 | 15887 | 6 |
Questions
What is the 1848th prime number?
15859.
Which prime number is 15859?
15859 is the 1848th prime number.
What is the sum of the first 1848 primes?
13,746,577.