What is the 9792nd prime number?
The 9792nd prime number is 102233. The next prime is 102241 (a gap of 8) and the one before is 102229.
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 9792nd one is 102233.
- 2
102233 is prime because no prime up to ā102233 ā 319.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9792nd prime is close to 9792 Ć ln(9792) ā 89982, and here it is 102233.
- 4
102233 has no twin: neither 102231 nor 102235 is prime.
Primes around the 9792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9789 | 102203 | 4 |
| 9790 | 102217 | 14 |
| 9791 | 102229 | 12 |
| 9792 | 102233 | 4 |
| 9793 | 102241 | 8 |
| 9794 | 102251 | 10 |
| 9795 | 102253 | 2 |
Questions
What is the 9792nd prime number?
102233.
Which prime number is 102233?
102233 is the 9792nd prime number.
What is the sum of the first 9792 primes?
474,631,671.