What is the 2779th prime number?
The 2779th prime number is 25171. The next prime is 25183 (a gap of 12) and the one before is 25169.
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 2779th one is 25171.
- 2
25171 is prime because no prime up to ā25171 ā 158.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2779th prime is close to 2779 Ć ln(2779) ā 22037, and here it is 25171.
- 4
25171 is a twin prime: 25169 and 25171 are both prime.
Primes around the 2779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2776 | 25153 | 6 |
| 2777 | 25163 | 10 |
| 2778 | 25169 | 6 |
| 2779 | 25171 | 2 |
| 2780 | 25183 | 12 |
| 2781 | 25189 | 6 |
| 2782 | 25219 | 30 |
Questions
What is the 2779th prime number?
25171.
Which prime number is 25171?
25171 is the 2779th prime number.
What is the sum of the first 2779 primes?
32,832,424.