What is the 9609th prime number?
The 9609th prime number is 100213. The next prime is 100237 (a gap of 24) and the one before is 100207.
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 9609th one is 100213.
- 2
100213 is prime because no prime up to ā100213 ā 316.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9609th prime is close to 9609 Ć ln(9609) ā 88119, and here it is 100213.
- 4
100213 has no twin: neither 100211 nor 100215 is prime.
Primes around the 9609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9606 | 100189 | 6 |
| 9607 | 100193 | 4 |
| 9608 | 100207 | 14 |
| 9609 | 100213 | 6 |
| 9610 | 100237 | 24 |
| 9611 | 100267 | 30 |
| 9612 | 100271 | 4 |
Questions
What is the 9609th prime number?
100213.
Which prime number is 100213?
100213 is the 9609th prime number.
What is the sum of the first 9609 primes?
456,098,576.