What is the 1033rd prime number?
The 1033rd prime number is 8233. The next prime is 8237 (a gap of 4) and the one before is 8231.
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 1033rd one is 8233.
- 2
8233 is prime because no prime up to ā8233 ā 90.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1033rd prime is close to 1033 Ć ln(1033) ā 7169, and here it is 8233.
- 4
8233 is a twin prime: 8231 and 8233 are both prime.
Primes around the 1033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1030 | 8219 | 10 |
| 1031 | 8221 | 2 |
| 1032 | 8231 | 10 |
| 1033 | 8233 | 2 |
| 1034 | 8237 | 4 |
| 1035 | 8243 | 6 |
| 1036 | 8263 | 20 |
Questions
What is the 1033rd prime number?
8233.
Which prime number is 8233?
8233 is the 1033rd prime number.
What is the sum of the first 1033 primes?
3,949,754.