What is the 9793rd prime number?
The 9793rd prime number is 102241. The next prime is 102251 (a gap of 10) and the one before is 102233.
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 9793rd one is 102241.
- 2
102241 is prime because no prime up to ā102241 ā 319.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9793rd prime is close to 9793 Ć ln(9793) ā 89992, and here it is 102241.
- 4
102241 has no twin: neither 102239 nor 102243 is prime.
Primes around the 9793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9790 | 102217 | 14 |
| 9791 | 102229 | 12 |
| 9792 | 102233 | 4 |
| 9793 | 102241 | 8 |
| 9794 | 102251 | 10 |
| 9795 | 102253 | 2 |
| 9796 | 102259 | 6 |
Questions
What is the 9793rd prime number?
102241.
Which prime number is 102241?
102241 is the 9793rd prime number.
What is the sum of the first 9793 primes?
474,733,912.