What is the 9602nd prime number?
The 9602nd prime number is 100151. The next prime is 100153 (a gap of 2) and the one before is 100129.
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 9602nd one is 100151.
- 2
100151 is prime because no prime up to ā100151 ā 316.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9602nd prime is close to 9602 Ć ln(9602) ā 88048, and here it is 100151.
- 4
100151 is a twin prime: 100151 and 100153 are both prime.
Primes around the 9602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9599 | 100103 | 34 |
| 9600 | 100109 | 6 |
| 9601 | 100129 | 20 |
| 9602 | 100151 | 22 |
| 9603 | 100153 | 2 |
| 9604 | 100169 | 16 |
| 9605 | 100183 | 14 |
Questions
What is the 9602nd prime number?
100151.
Which prime number is 100151?
100151 is the 9602nd prime number.
What is the sum of the first 9602 primes?
455,397,269.