What is the 9426th prime number?
The 9426th prime number is 98101. The next prime is 98123 (a gap of 22) and the one before is 98081.
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 9426th one is 98101.
- 2
98101 is prime because no prime up to ā98101 ā 313.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9426th prime is close to 9426 Ć ln(9426) ā 86259, and here it is 98101.
- 4
98101 has no twin: neither 98099 nor 98103 is prime.
Primes around the 9426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9423 | 98047 | 6 |
| 9424 | 98057 | 10 |
| 9425 | 98081 | 24 |
| 9426 | 98101 | 20 |
| 9427 | 98123 | 22 |
| 9428 | 98129 | 6 |
| 9429 | 98143 | 14 |
Questions
What is the 9426th prime number?
98101.
Which prime number is 98101?
98101 is the 9426th prime number.
What is the sum of the first 9426 primes?
437,951,437.