What is the 284th prime number?
The 284th prime number is 1861. The next prime is 1867 (a gap of 6) and the one before is 1847.
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 284th one is 1861.
- 2
1861 is prime because no prime up to ā1861 ā 43.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 284th prime is close to 284 Ć ln(284) ā 1604, and here it is 1861.
- 4
1861 has no twin: neither 1859 nor 1863 is prime.
Primes around the 284th
| Position | Prime | Gap from the previous |
|---|---|---|
| 281 | 1823 | 12 |
| 282 | 1831 | 8 |
| 283 | 1847 | 16 |
| 284 | 1861 | 14 |
| 285 | 1867 | 6 |
| 286 | 1871 | 4 |
| 287 | 1873 | 2 |
Questions
What is the 284th prime number?
1861.
Which prime number is 1861?
1861 is the 284th prime number.
What is the sum of the first 284 primes?
240,381.