What is the 9501st prime number?
The 9501st prime number is 98953. The next prime is 98963 (a gap of 10) and the one before is 98947.
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 9501st one is 98953.
- 2
98953 is prime because no prime up to ā98953 ā 314.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9501st prime is close to 9501 Ć ln(9501) ā 87021, and here it is 98953.
- 4
98953 has no twin: neither 98951 nor 98955 is prime.
Primes around the 9501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9498 | 98929 | 2 |
| 9499 | 98939 | 10 |
| 9500 | 98947 | 8 |
| 9501 | 98953 | 6 |
| 9502 | 98963 | 10 |
| 9503 | 98981 | 18 |
| 9504 | 98993 | 12 |
Questions
What is the 9501st prime number?
98953.
Which prime number is 98953?
98953 is the 9501st prime number.
What is the sum of the first 9501 primes?
445,343,978.