What is the 7113th prime number?
The 7113th prime number is 71867. The next prime is 71879 (a gap of 12) and the one before is 71861.
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 7113th one is 71867.
- 2
71867 is prime because no prime up to ā71867 ā 268.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7113th prime is close to 7113 Ć ln(7113) ā 63090, and here it is 71867.
- 4
71867 has no twin: neither 71865 nor 71869 is prime.
Primes around the 7113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7110 | 71843 | 6 |
| 7111 | 71849 | 6 |
| 7112 | 71861 | 12 |
| 7113 | 71867 | 6 |
| 7114 | 71879 | 12 |
| 7115 | 71881 | 2 |
| 7116 | 71887 | 6 |
Questions
What is the 7113th prime number?
71867.
Which prime number is 71867?
71867 is the 7113th prime number.
What is the sum of the first 7113 primes?
241,514,572.