What is the 1044th prime number?
The 1044th prime number is 8317. The next prime is 8329 (a gap of 12) and the one before is 8311.
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 1044th one is 8317.
- 2
8317 is prime because no prime up to ā8317 ā 91.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1044th prime is close to 1044 Ć ln(1044) ā 7257, and here it is 8317.
- 4
8317 has no twin: neither 8315 nor 8319 is prime.
Primes around the 1044th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1041 | 8293 | 2 |
| 1042 | 8297 | 4 |
| 1043 | 8311 | 14 |
| 1044 | 8317 | 6 |
| 1045 | 8329 | 12 |
| 1046 | 8353 | 24 |
| 1047 | 8363 | 10 |
Questions
What is the 1044th prime number?
8317.
Which prime number is 8317?
8317 is the 1044th prime number.
What is the sum of the first 1044 primes?
4,040,835.