What is the 293rd prime number?
The 293rd prime number is 1913. The next prime is 1931 (a gap of 18) and the one before is 1907.
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 293rd one is 1913.
- 2
1913 is prime because no prime up to ā1913 ā 43.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 293rd prime is close to 293 Ć ln(293) ā 1664, and here it is 1913.
- 4
1913 has no twin: neither 1911 nor 1915 is prime.
Primes around the 293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 290 | 1889 | 10 |
| 291 | 1901 | 12 |
| 292 | 1907 | 6 |
| 293 | 1913 | 6 |
| 294 | 1931 | 18 |
| 295 | 1933 | 2 |
| 296 | 1949 | 16 |
Questions
What is the 293rd prime number?
1913.
Which prime number is 1913?
1913 is the 293rd prime number.
What is the sum of the first 293 primes?
257,358.