What is the 922nd prime number?
The 922nd prime number is 7213. The next prime is 7219 (a gap of 6) and the one before is 7211.
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 922nd one is 7213.
- 2
7213 is prime because no prime up to ā7213 ā 84.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 922nd prime is close to 922 Ć ln(922) ā 6294, and here it is 7213.
- 4
7213 is a twin prime: 7211 and 7213 are both prime.
Primes around the 922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 919 | 7193 | 6 |
| 920 | 7207 | 14 |
| 921 | 7211 | 4 |
| 922 | 7213 | 2 |
| 923 | 7219 | 6 |
| 924 | 7229 | 10 |
| 925 | 7237 | 8 |
Questions
What is the 922nd prime number?
7213.
Which prime number is 7213?
7213 is the 922nd prime number.
What is the sum of the first 922 primes?
3,091,905.