What is the 7997th prime number?
The 7997th prime number is 81761. The next prime is 81769 (a gap of 8) and the one before is 81749.
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 7997th one is 81761.
- 2
81761 is prime because no prime up to ā81761 ā 285.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7997th prime is close to 7997 Ć ln(7997) ā 71868, and here it is 81761.
- 4
81761 has no twin: neither 81759 nor 81763 is prime.
Primes around the 7997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7994 | 81727 | 20 |
| 7995 | 81737 | 10 |
| 7996 | 81749 | 12 |
| 7997 | 81761 | 12 |
| 7998 | 81769 | 8 |
| 7999 | 81773 | 4 |
| 8000 | 81799 | 26 |
Questions
What is the 7997th prime number?
81761.
Which prime number is 81761?
81761 is the 7997th prime number.
What is the sum of the first 7997 primes?
309,432,000.