What is the 9603rd prime number?
The 9603rd prime number is 100153. The next prime is 100169 (a gap of 16) and the one before is 100151.
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 9603rd one is 100153.
- 2
100153 is prime because no prime up to ā100153 ā 316.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9603rd prime is close to 9603 Ć ln(9603) ā 88058, and here it is 100153.
- 4
100153 is a twin prime: 100151 and 100153 are both prime.
Primes around the 9603rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9600 | 100109 | 6 |
| 9601 | 100129 | 20 |
| 9602 | 100151 | 22 |
| 9603 | 100153 | 2 |
| 9604 | 100169 | 16 |
| 9605 | 100183 | 14 |
| 9606 | 100189 | 6 |
Questions
What is the 9603rd prime number?
100153.
Which prime number is 100153?
100153 is the 9603rd prime number.
What is the sum of the first 9603 primes?
455,497,422.