What is the 297th prime number?
The 297th prime number is 1951. The next prime is 1973 (a gap of 22) and the one before is 1949.
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 297th one is 1951.
- 2
1951 is prime because no prime up to ā1951 ā 44.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 297th prime is close to 297 Ć ln(297) ā 1691, and here it is 1951.
- 4
1951 is a twin prime: 1949 and 1951 are both prime.
Primes around the 297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 294 | 1931 | 18 |
| 295 | 1933 | 2 |
| 296 | 1949 | 16 |
| 297 | 1951 | 2 |
| 298 | 1973 | 22 |
| 299 | 1979 | 6 |
| 300 | 1987 | 8 |
Questions
What is the 297th prime number?
1951.
Which prime number is 1951?
1951 is the 297th prime number.
What is the sum of the first 297 primes?
265,122.