What is the 9779th prime number?
The 9779th prime number is 102103. The next prime is 102107 (a gap of 4) and the one before is 102101.
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 9779th one is 102103.
- 2
102103 is prime because no prime up to ā102103 ā 319.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9779th prime is close to 9779 Ć ln(9779) ā 89849, and here it is 102103.
- 4
102103 is a twin prime: 102101 and 102103 are both prime.
Primes around the 9779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9776 | 102077 | 6 |
| 9777 | 102079 | 2 |
| 9778 | 102101 | 22 |
| 9779 | 102103 | 2 |
| 9780 | 102107 | 4 |
| 9781 | 102121 | 14 |
| 9782 | 102139 | 18 |
Questions
What is the 9779th prime number?
102103.
Which prime number is 102103?
102103 is the 9779th prime number.
What is the sum of the first 9779 primes?
473,303,344.