What is the 9241st prime number?
The 9241st prime number is 95881. The next prime is 95891 (a gap of 10) and the one before is 95873.
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 9241st one is 95881.
- 2
95881 is prime because no prime up to ā95881 ā 309.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9241st prime is close to 9241 Ć ln(9241) ā 84383, and here it is 95881.
- 4
95881 has no twin: neither 95879 nor 95883 is prime.
Primes around the 9241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9238 | 95857 | 38 |
| 9239 | 95869 | 12 |
| 9240 | 95873 | 4 |
| 9241 | 95881 | 8 |
| 9242 | 95891 | 10 |
| 9243 | 95911 | 20 |
| 9244 | 95917 | 6 |
Questions
What is the 9241st prime number?
95881.
Which prime number is 95881?
95881 is the 9241st prime number.
What is the sum of the first 9241 primes?
420,008,790.