What is the 9305th prime number?
The 9305th prime number is 96661. The next prime is 96667 (a gap of 6) and the one before is 96643.
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 9305th one is 96661.
- 2
96661 is prime because no prime up to ā96661 ā 310.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9305th prime is close to 9305 Ć ln(9305) ā 85032, and here it is 96661.
- 4
96661 has no twin: neither 96659 nor 96663 is prime.
Primes around the 9305th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9302 | 96589 | 2 |
| 9303 | 96601 | 12 |
| 9304 | 96643 | 42 |
| 9305 | 96661 | 18 |
| 9306 | 96667 | 6 |
| 9307 | 96671 | 4 |
| 9308 | 96697 | 26 |
Questions
What is the 9305th prime number?
96661.
Which prime number is 96661?
96661 is the 9305th prime number.
What is the sum of the first 9305 primes?
426,169,598.