What is the 7990th prime number?
The 7990th prime number is 81689. The next prime is 81701 (a gap of 12) and the one before is 81677.
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 7990th one is 81689.
- 2
81689 is prime because no prime up to ā81689 ā 285.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7990th prime is close to 7990 Ć ln(7990) ā 71798, and here it is 81689.
- 4
81689 has no twin: neither 81687 nor 81691 is prime.
Primes around the 7990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7987 | 81667 | 18 |
| 7988 | 81671 | 4 |
| 7989 | 81677 | 6 |
| 7990 | 81689 | 12 |
| 7991 | 81701 | 12 |
| 7992 | 81703 | 2 |
| 7993 | 81707 | 4 |
Questions
What is the 7990th prime number?
81689.
Which prime number is 81689?
81689 is the 7990th prime number.
What is the sum of the first 7990 primes?
308,859,915.