What is the 9782nd prime number?
The 9782nd prime number is 102139. The next prime is 102149 (a gap of 10) and the one before is 102121.
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 9782nd one is 102139.
- 2
102139 is prime because no prime up to ā102139 ā 319.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9782nd prime is close to 9782 Ć ln(9782) ā 89880, and here it is 102139.
- 4
102139 has no twin: neither 102137 nor 102141 is prime.
Primes around the 9782nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9779 | 102103 | 2 |
| 9780 | 102107 | 4 |
| 9781 | 102121 | 14 |
| 9782 | 102139 | 18 |
| 9783 | 102149 | 10 |
| 9784 | 102161 | 12 |
| 9785 | 102181 | 20 |
Questions
What is the 9782nd prime number?
102139.
Which prime number is 102139?
102139 is the 9782nd prime number.
What is the sum of the first 9782 primes?
473,609,711.