What is the 7115th prime number?
The 7115th prime number is 71881. The next prime is 71887 (a gap of 6) and the one before is 71879.
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 7115th one is 71881.
- 2
71881 is prime because no prime up to ā71881 ā 268.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7115th prime is close to 7115 Ć ln(7115) ā 63110, and here it is 71881.
- 4
71881 is a twin prime: 71879 and 71881 are both prime.
Primes around the 7115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7112 | 71861 | 12 |
| 7113 | 71867 | 6 |
| 7114 | 71879 | 12 |
| 7115 | 71881 | 2 |
| 7116 | 71887 | 6 |
| 7117 | 71899 | 12 |
| 7118 | 71909 | 10 |
Questions
What is the 7115th prime number?
71881.
Which prime number is 71881?
71881 is the 7115th prime number.
What is the sum of the first 7115 primes?
241,658,332.