What is the 282nd prime number?
The 282nd prime number is 1831. The next prime is 1847 (a gap of 16) and the one before is 1823.
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 282nd one is 1831.
- 2
1831 is prime because no prime up to ā1831 ā 42.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 282nd prime is close to 282 Ć ln(282) ā 1591, and here it is 1831.
- 4
1831 has no twin: neither 1829 nor 1833 is prime.
Primes around the 282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 279 | 1801 | 12 |
| 280 | 1811 | 10 |
| 281 | 1823 | 12 |
| 282 | 1831 | 8 |
| 283 | 1847 | 16 |
| 284 | 1861 | 14 |
| 285 | 1867 | 6 |
Questions
What is the 282nd prime number?
1831.
Which prime number is 1831?
1831 is the 282nd prime number.
What is the sum of the first 282 primes?
236,673.