What is the 9425th prime number?
The 9425th prime number is 98081. The next prime is 98101 (a gap of 20) and the one before is 98057.
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 9425th one is 98081.
- 2
98081 is prime because no prime up to ā98081 ā 313.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9425th prime is close to 9425 Ć ln(9425) ā 86249, and here it is 98081.
- 4
98081 has no twin: neither 98079 nor 98083 is prime.
Primes around the 9425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9422 | 98041 | 24 |
| 9423 | 98047 | 6 |
| 9424 | 98057 | 10 |
| 9425 | 98081 | 24 |
| 9426 | 98101 | 20 |
| 9427 | 98123 | 22 |
| 9428 | 98129 | 6 |
Questions
What is the 9425th prime number?
98081.
Which prime number is 98081?
98081 is the 9425th prime number.
What is the sum of the first 9425 primes?
437,853,336.