What is the 8981st prime number?
The 8981st prime number is 92957. The next prime is 92959 (a gap of 2) and the one before is 92951.
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 8981st one is 92957.
- 2
92957 is prime because no prime up to ā92957 ā 304.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8981st prime is close to 8981 Ć ln(8981) ā 81753, and here it is 92957.
- 4
92957 is a twin prime: 92957 and 92959 are both prime.
Primes around the 8981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8978 | 92927 | 6 |
| 8979 | 92941 | 14 |
| 8980 | 92951 | 10 |
| 8981 | 92957 | 6 |
| 8982 | 92959 | 2 |
| 8983 | 92987 | 28 |
| 8984 | 92993 | 6 |
Questions
What is the 8981st prime number?
92957.
Which prime number is 92957?
92957 is the 8981st prime number.
What is the sum of the first 8981 primes?
395,450,758.