What is the 8946th prime number?
The 8946th prime number is 92639. The next prime is 92641 (a gap of 2) and the one before is 92627.
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 8946th one is 92639.
- 2
92639 is prime because no prime up to ā92639 ā 304.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8946th prime is close to 8946 Ć ln(8946) ā 81399, and here it is 92639.
- 4
92639 is a twin prime: 92639 and 92641 are both prime.
Primes around the 8946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8943 | 92593 | 12 |
| 8944 | 92623 | 30 |
| 8945 | 92627 | 4 |
| 8946 | 92639 | 12 |
| 8947 | 92641 | 2 |
| 8948 | 92647 | 6 |
| 8949 | 92657 | 10 |
Questions
What is the 8946th prime number?
92639.
Which prime number is 92639?
92639 is the 8946th prime number.
What is the sum of the first 8946 primes?
392,203,145.