What is the 7293rd prime number?
The 7293rd prime number is 73883. The next prime is 73897 (a gap of 14) and the one before is 73877.
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 7293rd one is 73883.
- 2
73883 is prime because no prime up to ā73883 ā 271.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7293rd prime is close to 7293 Ć ln(7293) ā 64869, and here it is 73883.
- 4
73883 has no twin: neither 73881 nor 73885 is prime.
Primes around the 7293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7290 | 73859 | 10 |
| 7291 | 73867 | 8 |
| 7292 | 73877 | 10 |
| 7293 | 73883 | 6 |
| 7294 | 73897 | 14 |
| 7295 | 73907 | 10 |
| 7296 | 73939 | 32 |
Questions
What is the 7293rd prime number?
73883.
Which prime number is 73883?
73883 is the 7293rd prime number.
What is the sum of the first 7293 primes?
254,629,380.