What is the 7116th prime number?
The 7116th prime number is 71887. The next prime is 71899 (a gap of 12) and the one before is 71881.
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 7116th one is 71887.
- 2
71887 is prime because no prime up to ā71887 ā 268.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7116th prime is close to 7116 Ć ln(7116) ā 63120, and here it is 71887.
- 4
71887 has no twin: neither 71885 nor 71889 is prime.
Primes around the 7116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7113 | 71867 | 6 |
| 7114 | 71879 | 12 |
| 7115 | 71881 | 2 |
| 7116 | 71887 | 6 |
| 7117 | 71899 | 12 |
| 7118 | 71909 | 10 |
| 7119 | 71917 | 8 |
Questions
What is the 7116th prime number?
71887.
Which prime number is 71887?
71887 is the 7116th prime number.
What is the sum of the first 7116 primes?
241,730,219.