What is the 279th prime number?
The 279th prime number is 1801. The next prime is 1811 (a gap of 10) and the one before is 1789.
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 279th one is 1801.
- 2
1801 is prime because no prime up to ā1801 ā 42.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 279th prime is close to 279 Ć ln(279) ā 1571, and here it is 1801.
- 4
1801 has no twin: neither 1799 nor 1803 is prime.
Primes around the 279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 276 | 1783 | 6 |
| 277 | 1787 | 4 |
| 278 | 1789 | 2 |
| 279 | 1801 | 12 |
| 280 | 1811 | 10 |
| 281 | 1823 | 12 |
| 282 | 1831 | 8 |
Questions
What is the 279th prime number?
1801.
Which prime number is 1801?
1801 is the 279th prime number.
What is the sum of the first 279 primes?
231,208.