What is the 7984th prime number?
The 7984th prime number is 81637. The next prime is 81647 (a gap of 10) and the one before is 81629.
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 7984th one is 81637.
- 2
81637 is prime because no prime up to ā81637 ā 285.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7984th prime is close to 7984 Ć ln(7984) ā 71738, and here it is 81637.
- 4
81637 has no twin: neither 81635 nor 81639 is prime.
Primes around the 7984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7981 | 81611 | 42 |
| 7982 | 81619 | 8 |
| 7983 | 81629 | 10 |
| 7984 | 81637 | 8 |
| 7985 | 81647 | 10 |
| 7986 | 81649 | 2 |
| 7987 | 81667 | 18 |
Questions
What is the 7984th prime number?
81637.
Which prime number is 81637?
81637 is the 7984th prime number.
What is the sum of the first 7984 primes?
308,369,915.