What is the 7061st prime number?
The 7061st prime number is 71329. The next prime is 71333 (a gap of 4) and the one before is 71327.
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 7061st one is 71329.
- 2
71329 is prime because no prime up to ā71329 ā 267.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7061st prime is close to 7061 Ć ln(7061) ā 62577, and here it is 71329.
- 4
71329 is a twin prime: 71327 and 71329 are both prime.
Primes around the 7061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7058 | 71293 | 6 |
| 7059 | 71317 | 24 |
| 7060 | 71327 | 10 |
| 7061 | 71329 | 2 |
| 7062 | 71333 | 4 |
| 7063 | 71339 | 6 |
| 7064 | 71341 | 2 |
Questions
What is the 7061st prime number?
71329.
Which prime number is 71329?
71329 is the 7061st prime number.
What is the sum of the first 7061 primes?
237,792,444.