What is the 7058th prime number?
The 7058th prime number is 71293. The next prime is 71317 (a gap of 24) and the one before is 71287.
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 7058th one is 71293.
- 2
71293 is prime because no prime up to ā71293 ā 267.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7058th prime is close to 7058 Ć ln(7058) ā 62547, and here it is 71293.
- 4
71293 has no twin: neither 71291 nor 71295 is prime.
Primes around the 7058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7055 | 71261 | 4 |
| 7056 | 71263 | 2 |
| 7057 | 71287 | 24 |
| 7058 | 71293 | 6 |
| 7059 | 71317 | 24 |
| 7060 | 71327 | 10 |
| 7061 | 71329 | 2 |
Questions
What is the 7058th prime number?
71293.
Which prime number is 71293?
71293 is the 7058th prime number.
What is the sum of the first 7058 primes?
237,578,471.