What is the 7988th prime number?
The 7988th prime number is 81671. The next prime is 81677 (a gap of 6) and the one before is 81667.
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 7988th one is 81671.
- 2
81671 is prime because no prime up to ā81671 ā 285.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7988th prime is close to 7988 Ć ln(7988) ā 71778, and here it is 81671.
- 4
81671 has no twin: neither 81669 nor 81673 is prime.
Primes around the 7988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7985 | 81647 | 10 |
| 7986 | 81649 | 2 |
| 7987 | 81667 | 18 |
| 7988 | 81671 | 4 |
| 7989 | 81677 | 6 |
| 7990 | 81689 | 12 |
| 7991 | 81701 | 12 |
Questions
What is the 7988th prime number?
81671.
Which prime number is 81671?
81671 is the 7988th prime number.
What is the sum of the first 7988 primes?
308,696,549.