What is the 916th prime number?
The 916th prime number is 7159. The next prime is 7177 (a gap of 18) and the one before is 7151.
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 916th one is 7159.
- 2
7159 is prime because no prime up to ā7159 ā 84.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 916th prime is close to 916 Ć ln(916) ā 6247, and here it is 7159.
- 4
7159 has no twin: neither 7157 nor 7161 is prime.
Primes around the 916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 913 | 7127 | 6 |
| 914 | 7129 | 2 |
| 915 | 7151 | 22 |
| 916 | 7159 | 8 |
| 917 | 7177 | 18 |
| 918 | 7187 | 10 |
| 919 | 7193 | 6 |
Questions
What is the 916th prime number?
7159.
Which prime number is 7159?
7159 is the 916th prime number.
What is the sum of the first 916 primes?
3,048,717.