What is the 9780th prime number?
The 9780th prime number is 102107. The next prime is 102121 (a gap of 14) and the one before is 102103.
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 9780th one is 102107.
- 2
102107 is prime because no prime up to ā102107 ā 319.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9780th prime is close to 9780 Ć ln(9780) ā 89860, and here it is 102107.
- 4
102107 has no twin: neither 102105 nor 102109 is prime.
Primes around the 9780th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9777 | 102079 | 2 |
| 9778 | 102101 | 22 |
| 9779 | 102103 | 2 |
| 9780 | 102107 | 4 |
| 9781 | 102121 | 14 |
| 9782 | 102139 | 18 |
| 9783 | 102149 | 10 |
Questions
What is the 9780th prime number?
102107.
Which prime number is 102107?
102107 is the 9780th prime number.
What is the sum of the first 9780 primes?
473,405,451.