What is the 9781st prime number?
The 9781st prime number is 102121. The next prime is 102139 (a gap of 18) and the one before is 102107.
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 9781st one is 102121.
- 2
102121 is prime because no prime up to ā102121 ā 319.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9781st prime is close to 9781 Ć ln(9781) ā 89870, and here it is 102121.
- 4
102121 has no twin: neither 102119 nor 102123 is prime.
Primes around the 9781st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9778 | 102101 | 22 |
| 9779 | 102103 | 2 |
| 9780 | 102107 | 4 |
| 9781 | 102121 | 14 |
| 9782 | 102139 | 18 |
| 9783 | 102149 | 10 |
| 9784 | 102161 | 12 |
Questions
What is the 9781st prime number?
102121.
Which prime number is 102121?
102121 is the 9781st prime number.
What is the sum of the first 9781 primes?
473,507,572.