What is the 9877th prime number?
The 9877th prime number is 103333. The next prime is 103349 (a gap of 16) and the one before is 103319.
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 9877th one is 103333.
- 2
103333 is prime because no prime up to ā103333 ā 321.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9877th prime is close to 9877 Ć ln(9877) ā 90848, and here it is 103333.
- 4
103333 has no twin: neither 103331 nor 103335 is prime.
Primes around the 9877th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9874 | 103291 | 2 |
| 9875 | 103307 | 16 |
| 9876 | 103319 | 12 |
| 9877 | 103333 | 14 |
| 9878 | 103349 | 16 |
| 9879 | 103357 | 8 |
| 9880 | 103387 | 30 |
Questions
What is the 9877th prime number?
103333.
Which prime number is 103333?
103333 is the 9877th prime number.
What is the sum of the first 9877 primes?
483,365,948.