What is the 281st prime number?
The 281st prime number is 1823. The next prime is 1831 (a gap of 8) and the one before is 1811.
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 281st one is 1823.
- 2
1823 is prime because no prime up to ā1823 ā 42.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 281st prime is close to 281 Ć ln(281) ā 1584, and here it is 1823.
- 4
1823 has no twin: neither 1821 nor 1825 is prime.
Primes around the 281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 278 | 1789 | 2 |
| 279 | 1801 | 12 |
| 280 | 1811 | 10 |
| 281 | 1823 | 12 |
| 282 | 1831 | 8 |
| 283 | 1847 | 16 |
| 284 | 1861 | 14 |
Questions
What is the 281st prime number?
1823.
Which prime number is 1823?
1823 is the 281st prime number.
What is the sum of the first 281 primes?
234,842.