What is the 9719th prime number?
The 9719th prime number is 101489. The next prime is 101501 (a gap of 12) and the one before is 101483.
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 9719th one is 101489.
- 2
101489 is prime because no prime up to ā101489 ā 318.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9719th prime is close to 9719 Ć ln(9719) ā 89238, and here it is 101489.
- 4
101489 has no twin: neither 101487 nor 101491 is prime.
Primes around the 9719th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9716 | 101467 | 18 |
| 9717 | 101477 | 10 |
| 9718 | 101483 | 6 |
| 9719 | 101489 | 6 |
| 9720 | 101501 | 12 |
| 9721 | 101503 | 2 |
| 9722 | 101513 | 10 |
Questions
What is the 9719th prime number?
101489.
Which prime number is 101489?
101489 is the 9719th prime number.
What is the sum of the first 9719 primes?
467,194,778.