What is the 7992nd prime number?
The 7992nd prime number is 81703. The next prime is 81707 (a gap of 4) and the one before is 81701.
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 7992nd one is 81703.
- 2
81703 is prime because no prime up to ā81703 ā 285.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7992nd prime is close to 7992 Ć ln(7992) ā 71818, and here it is 81703.
- 4
81703 is a twin prime: 81701 and 81703 are both prime.
Primes around the 7992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7989 | 81677 | 6 |
| 7990 | 81689 | 12 |
| 7991 | 81701 | 12 |
| 7992 | 81703 | 2 |
| 7993 | 81707 | 4 |
| 7994 | 81727 | 20 |
| 7995 | 81737 | 10 |
Questions
What is the 7992nd prime number?
81703.
Which prime number is 81703?
81703 is the 7992nd prime number.
What is the sum of the first 7992 primes?
309,023,319.