What is the 8950th prime number?
The 8950th prime number is 92669. The next prime is 92671 (a gap of 2) and the one before is 92657.
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 8950th one is 92669.
- 2
92669 is prime because no prime up to ā92669 ā 304.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8950th prime is close to 8950 Ć ln(8950) ā 81440, and here it is 92669.
- 4
92669 is a twin prime: 92669 and 92671 are both prime.
Primes around the 8950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8947 | 92641 | 2 |
| 8948 | 92647 | 6 |
| 8949 | 92657 | 10 |
| 8950 | 92669 | 12 |
| 8951 | 92671 | 2 |
| 8952 | 92681 | 10 |
| 8953 | 92683 | 2 |
Questions
What is the 8950th prime number?
92669.
Which prime number is 92669?
92669 is the 8950th prime number.
What is the sum of the first 8950 primes?
392,573,759.