What is the 9714th prime number?
The 9714th prime number is 101429. The next prime is 101449 (a gap of 20) and the one before is 101419.
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 9714th one is 101429.
- 2
101429 is prime because no prime up to ā101429 ā 318.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9714th prime is close to 9714 Ć ln(9714) ā 89187, and here it is 101429.
- 4
101429 has no twin: neither 101427 nor 101431 is prime.
Primes around the 9714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9711 | 101399 | 16 |
| 9712 | 101411 | 12 |
| 9713 | 101419 | 8 |
| 9714 | 101429 | 10 |
| 9715 | 101449 | 20 |
| 9716 | 101467 | 18 |
| 9717 | 101477 | 10 |
Questions
What is the 9714th prime number?
101429.
Which prime number is 101429?
101429 is the 9714th prime number.
What is the sum of the first 9714 primes?
466,687,413.