What is the 8929th prime number?
The 8929th prime number is 92419. The next prime is 92431 (a gap of 12) and the one before is 92413.
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 8929th one is 92419.
- 2
92419 is prime because no prime up to ā92419 ā 304.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8929th prime is close to 8929 Ć ln(8929) ā 81228, and here it is 92419.
- 4
92419 has no twin: neither 92417 nor 92421 is prime.
Primes around the 8929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8926 | 92399 | 12 |
| 8927 | 92401 | 2 |
| 8928 | 92413 | 12 |
| 8929 | 92419 | 6 |
| 8930 | 92431 | 12 |
| 8931 | 92459 | 28 |
| 8932 | 92461 | 2 |
Questions
What is the 8929th prime number?
92419.
Which prime number is 92419?
92419 is the 8929th prime number.
What is the sum of the first 8929 primes?
390,630,042.