What is the 915th prime number?
The 915th prime number is 7151. The next prime is 7159 (a gap of 8) and the one before is 7129.
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 915th one is 7151.
- 2
7151 is prime because no prime up to ā7151 ā 84.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 915th prime is close to 915 Ć ln(915) ā 6239, and here it is 7151.
- 4
7151 has no twin: neither 7149 nor 7153 is prime.
Primes around the 915th
| Position | Prime | Gap from the previous |
|---|---|---|
| 912 | 7121 | 12 |
| 913 | 7127 | 6 |
| 914 | 7129 | 2 |
| 915 | 7151 | 22 |
| 916 | 7159 | 8 |
| 917 | 7177 | 18 |
| 918 | 7187 | 10 |
Questions
What is the 915th prime number?
7151.
Which prime number is 7151?
7151 is the 915th prime number.
What is the sum of the first 915 primes?
3,041,558.