What is the 1043rd prime number?
The 1043rd prime number is 8311. The next prime is 8317 (a gap of 6) and the one before is 8297.
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 1043rd one is 8311.
- 2
8311 is prime because no prime up to ā8311 ā 91.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1043rd prime is close to 1043 Ć ln(1043) ā 7249, and here it is 8311.
- 4
8311 has no twin: neither 8309 nor 8313 is prime.
Primes around the 1043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1040 | 8291 | 4 |
| 1041 | 8293 | 2 |
| 1042 | 8297 | 4 |
| 1043 | 8311 | 14 |
| 1044 | 8317 | 6 |
| 1045 | 8329 | 12 |
| 1046 | 8353 | 24 |
Questions
What is the 1043rd prime number?
8311.
Which prime number is 8311?
8311 is the 1043rd prime number.
What is the sum of the first 1043 primes?
4,032,518.