What is the 1844th prime number?
The 1844th prime number is 15803. The next prime is 15809 (a gap of 6) and the one before is 15797.
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 1844th one is 15803.
- 2
15803 is prime because no prime up to ā15803 ā 125.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1844th prime is close to 1844 Ć ln(1844) ā 13866, and here it is 15803.
- 4
15803 has no twin: neither 15801 nor 15805 is prime.
Primes around the 1844th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1841 | 15787 | 14 |
| 1842 | 15791 | 4 |
| 1843 | 15797 | 6 |
| 1844 | 15803 | 6 |
| 1845 | 15809 | 6 |
| 1846 | 15817 | 8 |
| 1847 | 15823 | 6 |
Questions
What is the 1844th prime number?
15803.
Which prime number is 15803?
15803 is the 1844th prime number.
What is the sum of the first 1844 primes?
13,683,269.