What is the 9427th prime number?
The 9427th prime number is 98123. The next prime is 98129 (a gap of 6) and the one before is 98101.
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 9427th one is 98123.
- 2
98123 is prime because no prime up to ā98123 ā 313.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9427th prime is close to 9427 Ć ln(9427) ā 86270, and here it is 98123.
- 4
98123 has no twin: neither 98121 nor 98125 is prime.
Primes around the 9427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9424 | 98057 | 10 |
| 9425 | 98081 | 24 |
| 9426 | 98101 | 20 |
| 9427 | 98123 | 22 |
| 9428 | 98129 | 6 |
| 9429 | 98143 | 14 |
| 9430 | 98179 | 36 |
Questions
What is the 9427th prime number?
98123.
Which prime number is 98123?
98123 is the 9427th prime number.
What is the sum of the first 9427 primes?
438,049,560.