What is the 9430th prime number?
The 9430th prime number is 98179. The next prime is 98207 (a gap of 28) and the one before is 98143.
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 9430th one is 98179.
- 2
98179 is prime because no prime up to ā98179 ā 313.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9430th prime is close to 9430 Ć ln(9430) ā 86300, and here it is 98179.
- 4
98179 has no twin: neither 98177 nor 98181 is prime.
Primes around the 9430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9427 | 98123 | 22 |
| 9428 | 98129 | 6 |
| 9429 | 98143 | 14 |
| 9430 | 98179 | 36 |
| 9431 | 98207 | 28 |
| 9432 | 98213 | 6 |
| 9433 | 98221 | 8 |
Questions
What is the 9430th prime number?
98179.
Which prime number is 98179?
98179 is the 9430th prime number.
What is the sum of the first 9430 primes?
438,344,011.