What is the 9429th prime number?
The 9429th prime number is 98143. The next prime is 98179 (a gap of 36) and the one before is 98129.
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 9429th one is 98143.
- 2
98143 is prime because no prime up to ā98143 ā 313.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9429th prime is close to 9429 Ć ln(9429) ā 86290, and here it is 98143.
- 4
98143 has no twin: neither 98141 nor 98145 is prime.
Primes around the 9429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9426 | 98101 | 20 |
| 9427 | 98123 | 22 |
| 9428 | 98129 | 6 |
| 9429 | 98143 | 14 |
| 9430 | 98179 | 36 |
| 9431 | 98207 | 28 |
| 9432 | 98213 | 6 |
Questions
What is the 9429th prime number?
98143.
Which prime number is 98143?
98143 is the 9429th prime number.
What is the sum of the first 9429 primes?
438,245,832.