What is the 9777th prime number?
The 9777th prime number is 102079. The next prime is 102101 (a gap of 22) and the one before is 102077.
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 9777th one is 102079.
- 2
102079 is prime because no prime up to ā102079 ā 319.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9777th prime is close to 9777 Ć ln(9777) ā 89829, and here it is 102079.
- 4
102079 is a twin prime: 102077 and 102079 are both prime.
Primes around the 9777th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9774 | 102061 | 2 |
| 9775 | 102071 | 10 |
| 9776 | 102077 | 6 |
| 9777 | 102079 | 2 |
| 9778 | 102101 | 22 |
| 9779 | 102103 | 2 |
| 9780 | 102107 | 4 |
Questions
What is the 9777th prime number?
102079.
Which prime number is 102079?
102079 is the 9777th prime number.
What is the sum of the first 9777 primes?
473,099,140.