What is the 9342nd prime number?
The 9342nd prime number is 97073. The next prime is 97081 (a gap of 8) and the one before is 97039.
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 9342nd one is 97073.
- 2
97073 is prime because no prime up to ā97073 ā 311.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9342nd prime is close to 9342 Ć ln(9342) ā 85407, and here it is 97073.
- 4
97073 has no twin: neither 97071 nor 97075 is prime.
Primes around the 9342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9339 | 97007 | 4 |
| 9340 | 97021 | 14 |
| 9341 | 97039 | 18 |
| 9342 | 97073 | 34 |
| 9343 | 97081 | 8 |
| 9344 | 97103 | 22 |
| 9345 | 97117 | 14 |
Questions
What is the 9342nd prime number?
97073.
Which prime number is 97073?
97073 is the 9342nd prime number.
What is the sum of the first 9342 primes?
429,753,405.