What is the 7994th prime number?
The 7994th prime number is 81727. The next prime is 81737 (a gap of 10) and the one before is 81707.
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 7994th one is 81727.
- 2
81727 is prime because no prime up to ā81727 ā 285.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7994th prime is close to 7994 Ć ln(7994) ā 71838, and here it is 81727.
- 4
81727 has no twin: neither 81725 nor 81729 is prime.
Primes around the 7994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7991 | 81701 | 12 |
| 7992 | 81703 | 2 |
| 7993 | 81707 | 4 |
| 7994 | 81727 | 20 |
| 7995 | 81737 | 10 |
| 7996 | 81749 | 12 |
| 7997 | 81761 | 12 |
Questions
What is the 7994th prime number?
81727.
Which prime number is 81727?
81727 is the 7994th prime number.
What is the sum of the first 7994 primes?
309,186,753.