What is the 7118th prime number?
The 7118th prime number is 71909. The next prime is 71917 (a gap of 8) and the one before is 71899.
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 7118th one is 71909.
- 2
71909 is prime because no prime up to ā71909 ā 268.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7118th prime is close to 7118 Ć ln(7118) ā 63139, and here it is 71909.
- 4
71909 has no twin: neither 71907 nor 71911 is prime.
Primes around the 7118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7115 | 71881 | 2 |
| 7116 | 71887 | 6 |
| 7117 | 71899 | 12 |
| 7118 | 71909 | 10 |
| 7119 | 71917 | 8 |
| 7120 | 71933 | 16 |
| 7121 | 71941 | 8 |
Questions
What is the 7118th prime number?
71909.
Which prime number is 71909?
71909 is the 7118th prime number.
What is the sum of the first 7118 primes?
241,874,027.