What is the 7995th prime number?
The 7995th prime number is 81737. The next prime is 81749 (a gap of 12) and the one before is 81727.
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 7995th one is 81737.
- 2
81737 is prime because no prime up to ā81737 ā 285.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7995th prime is close to 7995 Ć ln(7995) ā 71848, and here it is 81737.
- 4
81737 has no twin: neither 81735 nor 81739 is prime.
Primes around the 7995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7992 | 81703 | 2 |
| 7993 | 81707 | 4 |
| 7994 | 81727 | 20 |
| 7995 | 81737 | 10 |
| 7996 | 81749 | 12 |
| 7997 | 81761 | 12 |
| 7998 | 81769 | 8 |
Questions
What is the 7995th prime number?
81737.
Which prime number is 81737?
81737 is the 7995th prime number.
What is the sum of the first 7995 primes?
309,268,490.