What is the 7117th prime number?
The 7117th prime number is 71899. The next prime is 71909 (a gap of 10) and the one before is 71887.
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 7117th one is 71899.
- 2
71899 is prime because no prime up to ā71899 ā 268.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7117th prime is close to 7117 Ć ln(7117) ā 63130, and here it is 71899.
- 4
71899 has no twin: neither 71897 nor 71901 is prime.
Primes around the 7117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7114 | 71879 | 12 |
| 7115 | 71881 | 2 |
| 7116 | 71887 | 6 |
| 7117 | 71899 | 12 |
| 7118 | 71909 | 10 |
| 7119 | 71917 | 8 |
| 7120 | 71933 | 16 |
Questions
What is the 7117th prime number?
71899.
Which prime number is 71899?
71899 is the 7117th prime number.
What is the sum of the first 7117 primes?
241,802,118.