What is the 9242nd prime number?
The 9242nd prime number is 95891. The next prime is 95911 (a gap of 20) and the one before is 95881.
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 9242nd one is 95891.
- 2
95891 is prime because no prime up to ā95891 ā 309.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9242nd prime is close to 9242 Ć ln(9242) ā 84393, and here it is 95891.
- 4
95891 has no twin: neither 95889 nor 95893 is prime.
Primes around the 9242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9239 | 95869 | 12 |
| 9240 | 95873 | 4 |
| 9241 | 95881 | 8 |
| 9242 | 95891 | 10 |
| 9243 | 95911 | 20 |
| 9244 | 95917 | 6 |
| 9245 | 95923 | 6 |
Questions
What is the 9242nd prime number?
95891.
Which prime number is 95891?
95891 is the 9242nd prime number.
What is the sum of the first 9242 primes?
420,104,681.