What is the 2044th prime number?
The 2044th prime number is 17827. The next prime is 17837 (a gap of 10) and the one before is 17807.
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 2044th one is 17827.
- 2
17827 is prime because no prime up to ā17827 ā 133.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2044th prime is close to 2044 Ć ln(2044) ā 15581, and here it is 17827.
- 4
17827 has no twin: neither 17825 nor 17829 is prime.
Primes around the 2044th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2041 | 17789 | 6 |
| 2042 | 17791 | 2 |
| 2043 | 17807 | 16 |
| 2044 | 17827 | 20 |
| 2045 | 17837 | 10 |
| 2046 | 17839 | 2 |
| 2047 | 17851 | 12 |
Questions
What is the 2044th prime number?
17827.
Which prime number is 17827?
17827 is the 2044th prime number.
What is the sum of the first 2044 primes?
17,048,919.