What is the 9504th prime number?
The 9504th prime number is 98993. The next prime is 98999 (a gap of 6) and the one before is 98981.
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 9504th one is 98993.
- 2
98993 is prime because no prime up to ā98993 ā 314.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9504th prime is close to 9504 Ć ln(9504) ā 87052, and here it is 98993.
- 4
98993 has no twin: neither 98991 nor 98995 is prime.
Primes around the 9504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9501 | 98953 | 6 |
| 9502 | 98963 | 10 |
| 9503 | 98981 | 18 |
| 9504 | 98993 | 12 |
| 9505 | 98999 | 6 |
| 9506 | 99013 | 14 |
| 9507 | 99017 | 4 |
Questions
What is the 9504th prime number?
98993.
Which prime number is 98993?
98993 is the 9504th prime number.
What is the sum of the first 9504 primes?
445,640,915.