What is the 8947th prime number?
The 8947th prime number is 92641. The next prime is 92647 (a gap of 6) and the one before is 92639.
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 8947th one is 92641.
- 2
92641 is prime because no prime up to ā92641 ā 304.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8947th prime is close to 8947 Ć ln(8947) ā 81409, and here it is 92641.
- 4
92641 is a twin prime: 92639 and 92641 are both prime.
Primes around the 8947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8944 | 92623 | 30 |
| 8945 | 92627 | 4 |
| 8946 | 92639 | 12 |
| 8947 | 92641 | 2 |
| 8948 | 92647 | 6 |
| 8949 | 92657 | 10 |
| 8950 | 92669 | 12 |
Questions
What is the 8947th prime number?
92641.
Which prime number is 92641?
92641 is the 8947th prime number.
What is the sum of the first 8947 primes?
392,295,786.