What is the 1032nd prime number?
The 1032nd prime number is 8231. The next prime is 8233 (a gap of 2) and the one before is 8221.
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 1032nd one is 8231.
- 2
8231 is prime because no prime up to ā8231 ā 90.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1032nd prime is close to 1032 Ć ln(1032) ā 7161, and here it is 8231.
- 4
8231 is a twin prime: 8231 and 8233 are both prime.
Primes around the 1032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1029 | 8209 | 18 |
| 1030 | 8219 | 10 |
| 1031 | 8221 | 2 |
| 1032 | 8231 | 10 |
| 1033 | 8233 | 2 |
| 1034 | 8237 | 4 |
| 1035 | 8243 | 6 |
Questions
What is the 1032nd prime number?
8231.
Which prime number is 8231?
8231 is the 1032nd prime number.
What is the sum of the first 1032 primes?
3,941,521.