What is the 9604th prime number?
The 9604th prime number is 100169. The next prime is 100183 (a gap of 14) and the one before is 100153.
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 9604th one is 100169.
- 2
100169 is prime because no prime up to ā100169 ā 316.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9604th prime is close to 9604 Ć ln(9604) ā 88068, and here it is 100169.
- 4
100169 has no twin: neither 100167 nor 100171 is prime.
Primes around the 9604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9601 | 100129 | 20 |
| 9602 | 100151 | 22 |
| 9603 | 100153 | 2 |
| 9604 | 100169 | 16 |
| 9605 | 100183 | 14 |
| 9606 | 100189 | 6 |
| 9607 | 100193 | 4 |
Questions
What is the 9604th prime number?
100169.
Which prime number is 100169?
100169 is the 9604th prime number.
What is the sum of the first 9604 primes?
455,597,591.