What is the 1045th prime number?
The 1045th prime number is 8329. The next prime is 8353 (a gap of 24) and the one before is 8317.
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 1045th one is 8329.
- 2
8329 is prime because no prime up to ā8329 ā 91.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1045th prime is close to 1045 Ć ln(1045) ā 7265, and here it is 8329.
- 4
8329 has no twin: neither 8327 nor 8331 is prime.
Primes around the 1045th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1042 | 8297 | 4 |
| 1043 | 8311 | 14 |
| 1044 | 8317 | 6 |
| 1045 | 8329 | 12 |
| 1046 | 8353 | 24 |
| 1047 | 8363 | 10 |
| 1048 | 8369 | 6 |
Questions
What is the 1045th prime number?
8329.
Which prime number is 8329?
8329 is the 1045th prime number.
What is the sum of the first 1045 primes?
4,049,164.