What is the 8948th prime number?
The 8948th prime number is 92647. The next prime is 92657 (a gap of 10) and the one before is 92641.
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 8948th one is 92647.
- 2
92647 is prime because no prime up to ā92647 ā 304.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8948th prime is close to 8948 Ć ln(8948) ā 81420, and here it is 92647.
- 4
92647 has no twin: neither 92645 nor 92649 is prime.
Primes around the 8948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8945 | 92627 | 4 |
| 8946 | 92639 | 12 |
| 8947 | 92641 | 2 |
| 8948 | 92647 | 6 |
| 8949 | 92657 | 10 |
| 8950 | 92669 | 12 |
| 8951 | 92671 | 2 |
Questions
What is the 8948th prime number?
92647.
Which prime number is 92647?
92647 is the 8948th prime number.
What is the sum of the first 8948 primes?
392,388,433.