What is the 7989th prime number?
The 7989th prime number is 81677. The next prime is 81689 (a gap of 12) and the one before is 81671.
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 7989th one is 81677.
- 2
81677 is prime because no prime up to ā81677 ā 285.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7989th prime is close to 7989 Ć ln(7989) ā 71788, and here it is 81677.
- 4
81677 has no twin: neither 81675 nor 81679 is prime.
Primes around the 7989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7986 | 81649 | 2 |
| 7987 | 81667 | 18 |
| 7988 | 81671 | 4 |
| 7989 | 81677 | 6 |
| 7990 | 81689 | 12 |
| 7991 | 81701 | 12 |
| 7992 | 81703 | 2 |
Questions
What is the 7989th prime number?
81677.
Which prime number is 81677?
81677 is the 7989th prime number.
What is the sum of the first 7989 primes?
308,778,226.