What is the 7922nd prime number?
The 7922nd prime number is 80933. The next prime is 80953 (a gap of 20) and the one before is 80929.
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 7922nd one is 80933.
- 2
80933 is prime because no prime up to ā80933 ā 284.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7922nd prime is close to 7922 Ć ln(7922) ā 71119, and here it is 80933.
- 4
80933 has no twin: neither 80931 nor 80935 is prime.
Primes around the 7922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7919 | 80917 | 6 |
| 7920 | 80923 | 6 |
| 7921 | 80929 | 6 |
| 7922 | 80933 | 4 |
| 7923 | 80953 | 20 |
| 7924 | 80963 | 10 |
| 7925 | 80989 | 26 |
Questions
What is the 7922nd prime number?
80933.
Which prime number is 80933?
80933 is the 7922nd prime number.
What is the sum of the first 7922 primes?
303,330,623.