What is the 9605th prime number?
The 9605th prime number is 100183. The next prime is 100189 (a gap of 6) and the one before is 100169.
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 9605th one is 100183.
- 2
100183 is prime because no prime up to ā100183 ā 316.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9605th prime is close to 9605 Ć ln(9605) ā 88078, and here it is 100183.
- 4
100183 has no twin: neither 100181 nor 100185 is prime.
Primes around the 9605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9602 | 100151 | 22 |
| 9603 | 100153 | 2 |
| 9604 | 100169 | 16 |
| 9605 | 100183 | 14 |
| 9606 | 100189 | 6 |
| 9607 | 100193 | 4 |
| 9608 | 100207 | 14 |
Questions
What is the 9605th prime number?
100183.
Which prime number is 100183?
100183 is the 9605th prime number.
What is the sum of the first 9605 primes?
455,697,774.