What is the 280th prime number?
The 280th prime number is 1811. The next prime is 1823 (a gap of 12) and the one before is 1801.
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 280th one is 1811.
- 2
1811 is prime because no prime up to ā1811 ā 42.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 280th prime is close to 280 Ć ln(280) ā 1578, and here it is 1811.
- 4
1811 has no twin: neither 1809 nor 1813 is prime.
Primes around the 280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 277 | 1787 | 4 |
| 278 | 1789 | 2 |
| 279 | 1801 | 12 |
| 280 | 1811 | 10 |
| 281 | 1823 | 12 |
| 282 | 1831 | 8 |
| 283 | 1847 | 16 |
Questions
What is the 280th prime number?
1811.
Which prime number is 1811?
1811 is the 280th prime number.
What is the sum of the first 280 primes?
233,019.