What is the 9872nd prime number?
The 9872nd prime number is 103237. The next prime is 103289 (a gap of 52) and the one before is 103231.
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 9872nd one is 103237.
- 2
103237 is prime because no prime up to ā103237 ā 321.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9872nd prime is close to 9872 Ć ln(9872) ā 90797, and here it is 103237.
- 4
103237 has no twin: neither 103235 nor 103239 is prime.
Primes around the 9872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9869 | 103183 | 6 |
| 9870 | 103217 | 34 |
| 9871 | 103231 | 14 |
| 9872 | 103237 | 6 |
| 9873 | 103289 | 52 |
| 9874 | 103291 | 2 |
| 9875 | 103307 | 16 |
Questions
What is the 9872nd prime number?
103237.
Which prime number is 103237?
103237 is the 9872nd prime number.
What is the sum of the first 9872 primes?
482,849,409.