What is the 9874th prime number?
The 9874th prime number is 103291. The next prime is 103307 (a gap of 16) and the one before is 103289.
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 9874th one is 103291.
- 2
103291 is prime because no prime up to ā103291 ā 321.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9874th prime is close to 9874 Ć ln(9874) ā 90818, and here it is 103291.
- 4
103291 is a twin prime: 103289 and 103291 are both prime.
Primes around the 9874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9871 | 103231 | 14 |
| 9872 | 103237 | 6 |
| 9873 | 103289 | 52 |
| 9874 | 103291 | 2 |
| 9875 | 103307 | 16 |
| 9876 | 103319 | 12 |
| 9877 | 103333 | 14 |
Questions
What is the 9874th prime number?
103291.
Which prime number is 103291?
103291 is the 9874th prime number.
What is the sum of the first 9874 primes?
483,055,989.