What is the 9995th prime number?
The 9995th prime number is 104701. The next prime is 104707 (a gap of 6) and the one before is 104693.
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 9995th one is 104701.
- 2
104701 is prime because no prime up to ā104701 ā 323.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9995th prime is close to 9995 Ć ln(9995) ā 92052, and here it is 104701.
- 4
104701 has no twin: neither 104699 nor 104703 is prime.
Primes around the 9995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9992 | 104681 | 4 |
| 9993 | 104683 | 2 |
| 9994 | 104693 | 10 |
| 9995 | 104701 | 8 |
| 9996 | 104707 | 6 |
| 9997 | 104711 | 4 |
| 9998 | 104717 | 6 |
Questions
What is the 9995th prime number?
104701.
Which prime number is 104701?
104701 is the 9995th prime number.
What is the sum of the first 9995 primes?
495,641,824.