What is the 2776th prime number?
The 2776th prime number is 25153. The next prime is 25163 (a gap of 10) and the one before is 25147.
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 2776th one is 25153.
- 2
25153 is prime because no prime up to ā25153 ā 158.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2776th prime is close to 2776 Ć ln(2776) ā 22010, and here it is 25153.
- 4
25153 has no twin: neither 25151 nor 25155 is prime.
Primes around the 2776th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2773 | 25121 | 4 |
| 2774 | 25127 | 6 |
| 2775 | 25147 | 20 |
| 2776 | 25153 | 6 |
| 2777 | 25163 | 10 |
| 2778 | 25169 | 6 |
| 2779 | 25171 | 2 |
Questions
What is the 2776th prime number?
25153.
Which prime number is 25153?
25153 is the 2776th prime number.
What is the sum of the first 2776 primes?
32,756,921.