What is the 9606th prime number?
The 9606th prime number is 100189. The next prime is 100193 (a gap of 4) and the one before is 100183.
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 9606th one is 100189.
- 2
100189 is prime because no prime up to ā100189 ā 316.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9606th prime is close to 9606 Ć ln(9606) ā 88088, and here it is 100189.
- 4
100189 has no twin: neither 100187 nor 100191 is prime.
Primes around the 9606th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9603 | 100153 | 2 |
| 9604 | 100169 | 16 |
| 9605 | 100183 | 14 |
| 9606 | 100189 | 6 |
| 9607 | 100193 | 4 |
| 9608 | 100207 | 14 |
| 9609 | 100213 | 6 |
Questions
What is the 9606th prime number?
100189.
Which prime number is 100189?
100189 is the 9606th prime number.
What is the sum of the first 9606 primes?
455,797,963.