What is the 912th prime number?
The 912th prime number is 7121. The next prime is 7127 (a gap of 6) and the one before is 7109.
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 912th one is 7121.
- 2
7121 is prime because no prime up to ā7121 ā 84.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 912th prime is close to 912 Ć ln(912) ā 6216, and here it is 7121.
- 4
7121 has no twin: neither 7119 nor 7123 is prime.
Primes around the 912th
| Position | Prime | Gap from the previous |
|---|---|---|
| 909 | 7079 | 10 |
| 910 | 7103 | 24 |
| 911 | 7109 | 6 |
| 912 | 7121 | 12 |
| 913 | 7127 | 6 |
| 914 | 7129 | 2 |
| 915 | 7151 | 22 |
Questions
What is the 912th prime number?
7121.
Which prime number is 7121?
7121 is the 912th prime number.
What is the sum of the first 912 primes?
3,020,151.