What is the 9506th prime number?
The 9506th prime number is 99013. The next prime is 99017 (a gap of 4) and the one before is 98999.
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 9506th one is 99013.
- 2
99013 is prime because no prime up to ā99013 ā 314.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9506th prime is close to 9506 Ć ln(9506) ā 87072, and here it is 99013.
- 4
99013 has no twin: neither 99011 nor 99015 is prime.
Primes around the 9506th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9503 | 98981 | 18 |
| 9504 | 98993 | 12 |
| 9505 | 98999 | 6 |
| 9506 | 99013 | 14 |
| 9507 | 99017 | 4 |
| 9508 | 99023 | 6 |
| 9509 | 99041 | 18 |
Questions
What is the 9506th prime number?
99013.
Which prime number is 99013?
99013 is the 9506th prime number.
What is the sum of the first 9506 primes?
445,838,927.