What is the 7920th prime number?
The 7920th prime number is 80923. The next prime is 80929 (a gap of 6) and the one before is 80917.
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 7920th one is 80923.
- 2
80923 is prime because no prime up to ā80923 ā 284.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7920th prime is close to 7920 Ć ln(7920) ā 71099, and here it is 80923.
- 4
80923 has no twin: neither 80921 nor 80925 is prime.
Primes around the 7920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7917 | 80909 | 12 |
| 7918 | 80911 | 2 |
| 7919 | 80917 | 6 |
| 7920 | 80923 | 6 |
| 7921 | 80929 | 6 |
| 7922 | 80933 | 4 |
| 7923 | 80953 | 20 |
Questions
What is the 7920th prime number?
80923.
Which prime number is 80923?
80923 is the 7920th prime number.
What is the sum of the first 7920 primes?
303,168,761.