What is the 9343rd prime number?
The 9343rd prime number is 97081. The next prime is 97103 (a gap of 22) and the one before is 97073.
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 9343rd one is 97081.
- 2
97081 is prime because no prime up to ā97081 ā 311.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9343rd prime is close to 9343 Ć ln(9343) ā 85417, and here it is 97081.
- 4
97081 has no twin: neither 97079 nor 97083 is prime.
Primes around the 9343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9340 | 97021 | 14 |
| 9341 | 97039 | 18 |
| 9342 | 97073 | 34 |
| 9343 | 97081 | 8 |
| 9344 | 97103 | 22 |
| 9345 | 97117 | 14 |
| 9346 | 97127 | 10 |
Questions
What is the 9343rd prime number?
97081.
Which prime number is 97081?
97081 is the 9343rd prime number.
What is the sum of the first 9343 primes?
429,850,486.