What is the 7996th prime number?
The 7996th prime number is 81749. The next prime is 81761 (a gap of 12) and the one before is 81737.
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 7996th one is 81749.
- 2
81749 is prime because no prime up to ā81749 ā 285.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7996th prime is close to 7996 Ć ln(7996) ā 71858, and here it is 81749.
- 4
81749 has no twin: neither 81747 nor 81751 is prime.
Primes around the 7996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7993 | 81707 | 4 |
| 7994 | 81727 | 20 |
| 7995 | 81737 | 10 |
| 7996 | 81749 | 12 |
| 7997 | 81761 | 12 |
| 7998 | 81769 | 8 |
| 7999 | 81773 | 4 |
Questions
What is the 7996th prime number?
81749.
Which prime number is 81749?
81749 is the 7996th prime number.
What is the sum of the first 7996 primes?
309,350,239.