What is the 8982nd prime number?
The 8982nd prime number is 92959. The next prime is 92987 (a gap of 28) and the one before is 92957.
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 8982nd one is 92959.
- 2
92959 is prime because no prime up to ā92959 ā 304.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8982nd prime is close to 8982 Ć ln(8982) ā 81763, and here it is 92959.
- 4
92959 is a twin prime: 92957 and 92959 are both prime.
Primes around the 8982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8979 | 92941 | 14 |
| 8980 | 92951 | 10 |
| 8981 | 92957 | 6 |
| 8982 | 92959 | 2 |
| 8983 | 92987 | 28 |
| 8984 | 92993 | 6 |
| 8985 | 93001 | 8 |
Questions
What is the 8982nd prime number?
92959.
Which prime number is 92959?
92959 is the 8982nd prime number.
What is the sum of the first 8982 primes?
395,543,717.