What is the 7297th prime number?
The 7297th prime number is 73943. The next prime is 73951 (a gap of 8) and the one before is 73939.
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 7297th one is 73943.
- 2
73943 is prime because no prime up to ā73943 ā 271.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7297th prime is close to 7297 Ć ln(7297) ā 64908, and here it is 73943.
- 4
73943 has no twin: neither 73941 nor 73945 is prime.
Primes around the 7297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7294 | 73897 | 14 |
| 7295 | 73907 | 10 |
| 7296 | 73939 | 32 |
| 7297 | 73943 | 4 |
| 7298 | 73951 | 8 |
| 7299 | 73961 | 10 |
| 7300 | 73973 | 12 |
Questions
What is the 7297th prime number?
73943.
Which prime number is 73943?
73943 is the 7297th prime number.
What is the sum of the first 7297 primes?
254,925,066.