What is the 9612th prime number?
The 9612th prime number is 100271. The next prime is 100279 (a gap of 8) and the one before is 100267.
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 9612th one is 100271.
- 2
100271 is prime because no prime up to ā100271 ā 316.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9612th prime is close to 9612 Ć ln(9612) ā 88149, and here it is 100271.
- 4
100271 has no twin: neither 100269 nor 100273 is prime.
Primes around the 9612th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9609 | 100213 | 6 |
| 9610 | 100237 | 24 |
| 9611 | 100267 | 30 |
| 9612 | 100271 | 4 |
| 9613 | 100279 | 8 |
| 9614 | 100291 | 12 |
| 9615 | 100297 | 6 |
Questions
What is the 9612th prime number?
100271.
Which prime number is 100271?
100271 is the 9612th prime number.
What is the sum of the first 9612 primes?
456,399,351.