What is the 8928th prime number?
The 8928th prime number is 92413. The next prime is 92419 (a gap of 6) and the one before is 92401.
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 8928th one is 92413.
- 2
92413 is prime because no prime up to ā92413 ā 304.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8928th prime is close to 8928 Ć ln(8928) ā 81218, and here it is 92413.
- 4
92413 has no twin: neither 92411 nor 92415 is prime.
Primes around the 8928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8925 | 92387 | 4 |
| 8926 | 92399 | 12 |
| 8927 | 92401 | 2 |
| 8928 | 92413 | 12 |
| 8929 | 92419 | 6 |
| 8930 | 92431 | 12 |
| 8931 | 92459 | 28 |
Questions
What is the 8928th prime number?
92413.
Which prime number is 92413?
92413 is the 8928th prime number.
What is the sum of the first 8928 primes?
390,537,623.