What is the 7998th prime number?
The 7998th prime number is 81769. The next prime is 81773 (a gap of 4) and the one before is 81761.
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 7998th one is 81769.
- 2
81769 is prime because no prime up to ā81769 ā 285.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7998th prime is close to 7998 Ć ln(7998) ā 71878, and here it is 81769.
- 4
81769 has no twin: neither 81767 nor 81771 is prime.
Primes around the 7998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7995 | 81737 | 10 |
| 7996 | 81749 | 12 |
| 7997 | 81761 | 12 |
| 7998 | 81769 | 8 |
| 7999 | 81773 | 4 |
| 8000 | 81799 | 26 |
| 8001 | 81817 | 18 |
Questions
What is the 7998th prime number?
81769.
Which prime number is 81769?
81769 is the 7998th prime number.
What is the sum of the first 7998 primes?
309,513,769.