What is the 9298th prime number?
The 9298th prime number is 96553. The next prime is 96557 (a gap of 4) and the one before is 96527.
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 9298th one is 96553.
- 2
96553 is prime because no prime up to ā96553 ā 310.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9298th prime is close to 9298 Ć ln(9298) ā 84961, and here it is 96553.
- 4
96553 has no twin: neither 96551 nor 96555 is prime.
Primes around the 9298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9295 | 96497 | 4 |
| 9296 | 96517 | 20 |
| 9297 | 96527 | 10 |
| 9298 | 96553 | 26 |
| 9299 | 96557 | 4 |
| 9300 | 96581 | 24 |
| 9301 | 96587 | 6 |
Questions
What is the 9298th prime number?
96553.
Which prime number is 96553?
96553 is the 9298th prime number.
What is the sum of the first 9298 primes?
425,493,379.