What is the 9705th prime number?
The 9705th prime number is 101341. The next prime is 101347 (a gap of 6) and the one before is 101333.
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 9705th one is 101341.
- 2
101341 is prime because no prime up to ā101341 ā 318.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9705th prime is close to 9705 Ć ln(9705) ā 89096, and here it is 101341.
- 4
101341 has no twin: neither 101339 nor 101343 is prime.
Primes around the 9705th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9702 | 101293 | 6 |
| 9703 | 101323 | 30 |
| 9704 | 101333 | 10 |
| 9705 | 101341 | 8 |
| 9706 | 101347 | 6 |
| 9707 | 101359 | 12 |
| 9708 | 101363 | 4 |
Questions
What is the 9705th prime number?
101341.
Which prime number is 101341?
101341 is the 9705th prime number.
What is the sum of the first 9705 primes?
465,774,926.