What is the 7999th prime number?
The 7999th prime number is 81773. The next prime is 81799 (a gap of 26) and the one before is 81769.
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 7999th one is 81773.
- 2
81773 is prime because no prime up to ā81773 ā 285.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7999th prime is close to 7999 Ć ln(7999) ā 71888, and here it is 81773.
- 4
81773 has no twin: neither 81771 nor 81775 is prime.
Primes around the 7999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7996 | 81749 | 12 |
| 7997 | 81761 | 12 |
| 7998 | 81769 | 8 |
| 7999 | 81773 | 4 |
| 8000 | 81799 | 26 |
| 8001 | 81817 | 18 |
| 8002 | 81839 | 22 |
Questions
What is the 7999th prime number?
81773.
Which prime number is 81773?
81773 is the 7999th prime number.
What is the sum of the first 7999 primes?
309,595,542.