What is the 8984th prime number?
The 8984th prime number is 92993. The next prime is 93001 (a gap of 8) and the one before is 92987.
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 8984th one is 92993.
- 2
92993 is prime because no prime up to ā92993 ā 304.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8984th prime is close to 8984 Ć ln(8984) ā 81783, and here it is 92993.
- 4
92993 has no twin: neither 92991 nor 92995 is prime.
Primes around the 8984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8981 | 92957 | 6 |
| 8982 | 92959 | 2 |
| 8983 | 92987 | 28 |
| 8984 | 92993 | 6 |
| 8985 | 93001 | 8 |
| 8986 | 93047 | 46 |
| 8987 | 93053 | 6 |
Questions
What is the 8984th prime number?
92993.
Which prime number is 92993?
92993 is the 8984th prime number.
What is the sum of the first 8984 primes?
395,729,697.