What is the 9794th prime number?
The 9794th prime number is 102251. The next prime is 102253 (a gap of 2) and the one before is 102241.
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 9794th one is 102251.
- 2
102251 is prime because no prime up to ā102251 ā 319.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9794th prime is close to 9794 Ć ln(9794) ā 90002, and here it is 102251.
- 4
102251 is a twin prime: 102251 and 102253 are both prime.
Primes around the 9794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9791 | 102229 | 12 |
| 9792 | 102233 | 4 |
| 9793 | 102241 | 8 |
| 9794 | 102251 | 10 |
| 9795 | 102253 | 2 |
| 9796 | 102259 | 6 |
| 9797 | 102293 | 34 |
Questions
What is the 9794th prime number?
102251.
Which prime number is 102251?
102251 is the 9794th prime number.
What is the sum of the first 9794 primes?
474,836,163.