What is the 9715th prime number?
The 9715th prime number is 101449. The next prime is 101467 (a gap of 18) and the one before is 101429.
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 9715th one is 101449.
- 2
101449 is prime because no prime up to ā101449 ā 318.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9715th prime is close to 9715 Ć ln(9715) ā 89198, and here it is 101449.
- 4
101449 has no twin: neither 101447 nor 101451 is prime.
Primes around the 9715th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9712 | 101411 | 12 |
| 9713 | 101419 | 8 |
| 9714 | 101429 | 10 |
| 9715 | 101449 | 20 |
| 9716 | 101467 | 18 |
| 9717 | 101477 | 10 |
| 9718 | 101483 | 6 |
Questions
What is the 9715th prime number?
101449.
Which prime number is 101449?
101449 is the 9715th prime number.
What is the sum of the first 9715 primes?
466,788,862.