What is the 2777th prime number?
The 2777th prime number is 25163. The next prime is 25169 (a gap of 6) and the one before is 25153.
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 2777th one is 25163.
- 2
25163 is prime because no prime up to ā25163 ā 158.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2777th prime is close to 2777 Ć ln(2777) ā 22019, and here it is 25163.
- 4
25163 has no twin: neither 25161 nor 25165 is prime.
Primes around the 2777th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2774 | 25127 | 6 |
| 2775 | 25147 | 20 |
| 2776 | 25153 | 6 |
| 2777 | 25163 | 10 |
| 2778 | 25169 | 6 |
| 2779 | 25171 | 2 |
| 2780 | 25183 | 12 |
Questions
What is the 2777th prime number?
25163.
Which prime number is 25163?
25163 is the 2777th prime number.
What is the sum of the first 2777 primes?
32,782,084.