What is the 9344th prime number?
The 9344th prime number is 97103. The next prime is 97117 (a gap of 14) and the one before is 97081.
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 9344th one is 97103.
- 2
97103 is prime because no prime up to ā97103 ā 311.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9344th prime is close to 9344 Ć ln(9344) ā 85427, and here it is 97103.
- 4
97103 has no twin: neither 97101 nor 97105 is prime.
Primes around the 9344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9341 | 97039 | 18 |
| 9342 | 97073 | 34 |
| 9343 | 97081 | 8 |
| 9344 | 97103 | 22 |
| 9345 | 97117 | 14 |
| 9346 | 97127 | 10 |
| 9347 | 97151 | 24 |
Questions
What is the 9344th prime number?
97103.
Which prime number is 97103?
97103 is the 9344th prime number.
What is the sum of the first 9344 primes?
429,947,589.