What is the 288th prime number?
The 288th prime number is 1877. The next prime is 1879 (a gap of 2) and the one before is 1873.
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 288th one is 1877.
- 2
1877 is prime because no prime up to ā1877 ā 43.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 288th prime is close to 288 Ć ln(288) ā 1631, and here it is 1877.
- 4
1877 is a twin prime: 1877 and 1879 are both prime.
Primes around the 288th
| Position | Prime | Gap from the previous |
|---|---|---|
| 285 | 1867 | 6 |
| 286 | 1871 | 4 |
| 287 | 1873 | 2 |
| 288 | 1877 | 4 |
| 289 | 1879 | 2 |
| 290 | 1889 | 10 |
| 291 | 1901 | 12 |
Questions
What is the 288th prime number?
1877.
Which prime number is 1877?
1877 is the 288th prime number.
What is the sum of the first 288 primes?
247,869.