What is the 7993rd prime number?
The 7993rd prime number is 81707. The next prime is 81727 (a gap of 20) and the one before is 81703.
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 7993rd one is 81707.
- 2
81707 is prime because no prime up to ā81707 ā 285.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7993rd prime is close to 7993 Ć ln(7993) ā 71828, and here it is 81707.
- 4
81707 has no twin: neither 81705 nor 81709 is prime.
Primes around the 7993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7990 | 81689 | 12 |
| 7991 | 81701 | 12 |
| 7992 | 81703 | 2 |
| 7993 | 81707 | 4 |
| 7994 | 81727 | 20 |
| 7995 | 81737 | 10 |
| 7996 | 81749 | 12 |
Questions
What is the 7993rd prime number?
81707.
Which prime number is 81707?
81707 is the 7993rd prime number.
What is the sum of the first 7993 primes?
309,105,026.