What is the 294th prime number?
The 294th prime number is 1931. The next prime is 1933 (a gap of 2) and the one before is 1913.
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 294th one is 1931.
- 2
1931 is prime because no prime up to ā1931 ā 43.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 294th prime is close to 294 Ć ln(294) ā 1671, and here it is 1931.
- 4
1931 is a twin prime: 1931 and 1933 are both prime.
Primes around the 294th
| Position | Prime | Gap from the previous |
|---|---|---|
| 291 | 1901 | 12 |
| 292 | 1907 | 6 |
| 293 | 1913 | 6 |
| 294 | 1931 | 18 |
| 295 | 1933 | 2 |
| 296 | 1949 | 16 |
| 297 | 1951 | 2 |
Questions
What is the 294th prime number?
1931.
Which prime number is 1931?
1931 is the 294th prime number.
What is the sum of the first 294 primes?
259,289.