What is the 9247th prime number?
The 9247th prime number is 95947. The next prime is 95957 (a gap of 10) and the one before is 95929.
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 9247th one is 95947.
- 2
95947 is prime because no prime up to ā95947 ā 309.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9247th prime is close to 9247 Ć ln(9247) ā 84444, and here it is 95947.
- 4
95947 has no twin: neither 95945 nor 95949 is prime.
Primes around the 9247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9244 | 95917 | 6 |
| 9245 | 95923 | 6 |
| 9246 | 95929 | 6 |
| 9247 | 95947 | 18 |
| 9248 | 95957 | 10 |
| 9249 | 95959 | 2 |
| 9250 | 95971 | 12 |
Questions
What is the 9247th prime number?
95947.
Which prime number is 95947?
95947 is the 9247th prime number.
What is the sum of the first 9247 primes?
420,584,308.