What is the 295th prime number?
The 295th prime number is 1933. The next prime is 1949 (a gap of 16) and the one before is 1931.
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 295th one is 1933.
- 2
1933 is prime because no prime up to ā1933 ā 43.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 295th prime is close to 295 Ć ln(295) ā 1678, and here it is 1933.
- 4
1933 is a twin prime: 1931 and 1933 are both prime.
Primes around the 295th
| Position | Prime | Gap from the previous |
|---|---|---|
| 292 | 1907 | 6 |
| 293 | 1913 | 6 |
| 294 | 1931 | 18 |
| 295 | 1933 | 2 |
| 296 | 1949 | 16 |
| 297 | 1951 | 2 |
| 298 | 1973 | 22 |
Questions
What is the 295th prime number?
1933.
Which prime number is 1933?
1933 is the 295th prime number.
What is the sum of the first 295 primes?
261,222.