What is the 285th prime number?
The 285th prime number is 1867. The next prime is 1871 (a gap of 4) and the one before is 1861.
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 285th one is 1867.
- 2
1867 is prime because no prime up to ā1867 ā 43.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 285th prime is close to 285 Ć ln(285) ā 1611, and here it is 1867.
- 4
1867 has no twin: neither 1865 nor 1869 is prime.
Primes around the 285th
| Position | Prime | Gap from the previous |
|---|---|---|
| 282 | 1831 | 8 |
| 283 | 1847 | 16 |
| 284 | 1861 | 14 |
| 285 | 1867 | 6 |
| 286 | 1871 | 4 |
| 287 | 1873 | 2 |
| 288 | 1877 | 4 |
Questions
What is the 285th prime number?
1867.
Which prime number is 1867?
1867 is the 285th prime number.
What is the sum of the first 285 primes?
242,248.