What is the 283rd prime number?
The 283rd prime number is 1847. The next prime is 1861 (a gap of 14) and the one before is 1831.
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 283rd one is 1847.
- 2
1847 is prime because no prime up to ā1847 ā 42.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 283rd prime is close to 283 Ć ln(283) ā 1598, and here it is 1847.
- 4
1847 has no twin: neither 1845 nor 1849 is prime.
Primes around the 283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 280 | 1811 | 10 |
| 281 | 1823 | 12 |
| 282 | 1831 | 8 |
| 283 | 1847 | 16 |
| 284 | 1861 | 14 |
| 285 | 1867 | 6 |
| 286 | 1871 | 4 |
Questions
What is the 283rd prime number?
1847.
Which prime number is 1847?
1847 is the 283rd prime number.
What is the sum of the first 283 primes?
238,520.