What is the 7068th prime number?
The 7068th prime number is 71363. The next prime is 71387 (a gap of 24) and the one before is 71359.
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 7068th one is 71363.
- 2
71363 is prime because no prime up to ā71363 ā 267.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7068th prime is close to 7068 Ć ln(7068) ā 62646, and here it is 71363.
- 4
71363 has no twin: neither 71361 nor 71365 is prime.
Primes around the 7068th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7065 | 71347 | 6 |
| 7066 | 71353 | 6 |
| 7067 | 71359 | 6 |
| 7068 | 71363 | 4 |
| 7069 | 71387 | 24 |
| 7070 | 71389 | 2 |
| 7071 | 71399 | 10 |
Questions
What is the 7068th prime number?
71363.
Which prime number is 71363?
71363 is the 7068th prime number.
What is the sum of the first 7068 primes?
238,291,879.