What is the 8952nd prime number?
The 8952nd prime number is 92681. The next prime is 92683 (a gap of 2) and the one before is 92671.
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 8952nd one is 92681.
- 2
92681 is prime because no prime up to ā92681 ā 304.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8952nd prime is close to 8952 Ć ln(8952) ā 81460, and here it is 92681.
- 4
92681 is a twin prime: 92681 and 92683 are both prime.
Primes around the 8952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8949 | 92657 | 10 |
| 8950 | 92669 | 12 |
| 8951 | 92671 | 2 |
| 8952 | 92681 | 10 |
| 8953 | 92683 | 2 |
| 8954 | 92693 | 10 |
| 8955 | 92699 | 6 |
Questions
What is the 8952nd prime number?
92681.
Which prime number is 92681?
92681 is the 8952nd prime number.
What is the sum of the first 8952 primes?
392,759,111.