What is the 9796th prime number?
The 9796th prime number is 102259. The next prime is 102293 (a gap of 34) and the one before is 102253.
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 9796th one is 102259.
- 2
102259 is prime because no prime up to ā102259 ā 319.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9796th prime is close to 9796 Ć ln(9796) ā 90023, and here it is 102259.
- 4
102259 has no twin: neither 102257 nor 102261 is prime.
Primes around the 9796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9793 | 102241 | 8 |
| 9794 | 102251 | 10 |
| 9795 | 102253 | 2 |
| 9796 | 102259 | 6 |
| 9797 | 102293 | 34 |
| 9798 | 102299 | 6 |
| 9799 | 102301 | 2 |
Questions
What is the 9796th prime number?
102259.
Which prime number is 102259?
102259 is the 9796th prime number.
What is the sum of the first 9796 primes?
475,040,675.