What is the 2775th prime number?
The 2775th prime number is 25147. The next prime is 25153 (a gap of 6) and the one before is 25127.
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 2775th one is 25147.
- 2
25147 is prime because no prime up to ā25147 ā 158.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2775th prime is close to 2775 Ć ln(2775) ā 22001, and here it is 25147.
- 4
25147 has no twin: neither 25145 nor 25149 is prime.
Primes around the 2775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2772 | 25117 | 6 |
| 2773 | 25121 | 4 |
| 2774 | 25127 | 6 |
| 2775 | 25147 | 20 |
| 2776 | 25153 | 6 |
| 2777 | 25163 | 10 |
| 2778 | 25169 | 6 |
Questions
What is the 2775th prime number?
25147.
Which prime number is 25147?
25147 is the 2775th prime number.
What is the sum of the first 2775 primes?
32,731,768.