What is the 286th prime number?
The 286th prime number is 1871. The next prime is 1873 (a gap of 2) and the one before is 1867.
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 286th one is 1871.
- 2
1871 is prime because no prime up to ā1871 ā 43.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 286th prime is close to 286 Ć ln(286) ā 1618, and here it is 1871.
- 4
1871 is a twin prime: 1871 and 1873 are both prime.
Primes around the 286th
| Position | Prime | Gap from the previous |
|---|---|---|
| 283 | 1847 | 16 |
| 284 | 1861 | 14 |
| 285 | 1867 | 6 |
| 286 | 1871 | 4 |
| 287 | 1873 | 2 |
| 288 | 1877 | 4 |
| 289 | 1879 | 2 |
Questions
What is the 286th prime number?
1871.
Which prime number is 1871?
1871 is the 286th prime number.
What is the sum of the first 286 primes?
244,119.