What is the 9428th prime number?
The 9428th prime number is 98129. The next prime is 98143 (a gap of 14) and the one before is 98123.
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 9428th one is 98129.
- 2
98129 is prime because no prime up to ā98129 ā 313.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9428th prime is close to 9428 Ć ln(9428) ā 86280, and here it is 98129.
- 4
98129 has no twin: neither 98127 nor 98131 is prime.
Primes around the 9428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9425 | 98081 | 24 |
| 9426 | 98101 | 20 |
| 9427 | 98123 | 22 |
| 9428 | 98129 | 6 |
| 9429 | 98143 | 14 |
| 9430 | 98179 | 36 |
| 9431 | 98207 | 28 |
Questions
What is the 9428th prime number?
98129.
Which prime number is 98129?
98129 is the 9428th prime number.
What is the sum of the first 9428 primes?
438,147,689.