What is the 7059th prime number?
The 7059th prime number is 71317. The next prime is 71327 (a gap of 10) and the one before is 71293.
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 7059th one is 71317.
- 2
71317 is prime because no prime up to ā71317 ā 267.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7059th prime is close to 7059 Ć ln(7059) ā 62557, and here it is 71317.
- 4
71317 has no twin: neither 71315 nor 71319 is prime.
Primes around the 7059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7056 | 71263 | 2 |
| 7057 | 71287 | 24 |
| 7058 | 71293 | 6 |
| 7059 | 71317 | 24 |
| 7060 | 71327 | 10 |
| 7061 | 71329 | 2 |
| 7062 | 71333 | 4 |
Questions
What is the 7059th prime number?
71317.
Which prime number is 71317?
71317 is the 7059th prime number.
What is the sum of the first 7059 primes?
237,649,788.