What is the 9502nd prime number?
The 9502nd prime number is 98963. The next prime is 98981 (a gap of 18) and the one before is 98953.
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 9502nd one is 98963.
- 2
98963 is prime because no prime up to ā98963 ā 314.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9502nd prime is close to 9502 Ć ln(9502) ā 87031, and here it is 98963.
- 4
98963 has no twin: neither 98961 nor 98965 is prime.
Primes around the 9502nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9499 | 98939 | 10 |
| 9500 | 98947 | 8 |
| 9501 | 98953 | 6 |
| 9502 | 98963 | 10 |
| 9503 | 98981 | 18 |
| 9504 | 98993 | 12 |
| 9505 | 98999 | 6 |
Questions
What is the 9502nd prime number?
98963.
Which prime number is 98963?
98963 is the 9502nd prime number.
What is the sum of the first 9502 primes?
445,442,941.