What is the 287th prime number?
The 287th prime number is 1873. The next prime is 1877 (a gap of 4) and the one before is 1871.
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 287th one is 1873.
- 2
1873 is prime because no prime up to ā1873 ā 43.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 287th prime is close to 287 Ć ln(287) ā 1624, and here it is 1873.
- 4
1873 is a twin prime: 1871 and 1873 are both prime.
Primes around the 287th
| Position | Prime | Gap from the previous |
|---|---|---|
| 284 | 1861 | 14 |
| 285 | 1867 | 6 |
| 286 | 1871 | 4 |
| 287 | 1873 | 2 |
| 288 | 1877 | 4 |
| 289 | 1879 | 2 |
| 290 | 1889 | 10 |
Questions
What is the 287th prime number?
1873.
Which prime number is 1873?
1873 is the 287th prime number.
What is the sum of the first 287 primes?
245,992.