What is the 7987th prime number?
The 7987th prime number is 81667. The next prime is 81671 (a gap of 4) and the one before is 81649.
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 7987th one is 81667.
- 2
81667 is prime because no prime up to ā81667 ā 285.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7987th prime is close to 7987 Ć ln(7987) ā 71768, and here it is 81667.
- 4
81667 has no twin: neither 81665 nor 81669 is prime.
Primes around the 7987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7984 | 81637 | 8 |
| 7985 | 81647 | 10 |
| 7986 | 81649 | 2 |
| 7987 | 81667 | 18 |
| 7988 | 81671 | 4 |
| 7989 | 81677 | 6 |
| 7990 | 81689 | 12 |
Questions
What is the 7987th prime number?
81667.
Which prime number is 81667?
81667 is the 7987th prime number.
What is the sum of the first 7987 primes?
308,614,878.