What is the 8945th prime number?
The 8945th prime number is 92627. The next prime is 92639 (a gap of 12) and the one before is 92623.
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 8945th one is 92627.
- 2
92627 is prime because no prime up to ā92627 ā 304.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8945th prime is close to 8945 Ć ln(8945) ā 81389, and here it is 92627.
- 4
92627 has no twin: neither 92625 nor 92629 is prime.
Primes around the 8945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8942 | 92581 | 12 |
| 8943 | 92593 | 12 |
| 8944 | 92623 | 30 |
| 8945 | 92627 | 4 |
| 8946 | 92639 | 12 |
| 8947 | 92641 | 2 |
| 8948 | 92647 | 6 |
Questions
What is the 8945th prime number?
92627.
Which prime number is 92627?
92627 is the 8945th prime number.
What is the sum of the first 8945 primes?
392,110,506.