What is the 9791st prime number?
The 9791st prime number is 102229. The next prime is 102233 (a gap of 4) and the one before is 102217.
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 9791st one is 102229.
- 2
102229 is prime because no prime up to ā102229 ā 319.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9791st prime is close to 9791 Ć ln(9791) ā 89972, and here it is 102229.
- 4
102229 has no twin: neither 102227 nor 102231 is prime.
Primes around the 9791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9788 | 102199 | 2 |
| 9789 | 102203 | 4 |
| 9790 | 102217 | 14 |
| 9791 | 102229 | 12 |
| 9792 | 102233 | 4 |
| 9793 | 102241 | 8 |
| 9794 | 102251 | 10 |
Questions
What is the 9791st prime number?
102229.
Which prime number is 102229?
102229 is the 9791st prime number.
What is the sum of the first 9791 primes?
474,529,438.