What is the 7114th prime number?
The 7114th prime number is 71879. The next prime is 71881 (a gap of 2) and the one before is 71867.
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 7114th one is 71879.
- 2
71879 is prime because no prime up to ā71879 ā 268.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7114th prime is close to 7114 Ć ln(7114) ā 63100, and here it is 71879.
- 4
71879 is a twin prime: 71879 and 71881 are both prime.
Primes around the 7114th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7111 | 71849 | 6 |
| 7112 | 71861 | 12 |
| 7113 | 71867 | 6 |
| 7114 | 71879 | 12 |
| 7115 | 71881 | 2 |
| 7116 | 71887 | 6 |
| 7117 | 71899 | 12 |
Questions
What is the 7114th prime number?
71879.
Which prime number is 71879?
71879 is the 7114th prime number.
What is the sum of the first 7114 primes?
241,586,451.