What is the 2774th prime number?
The 2774th prime number is 25127. The next prime is 25147 (a gap of 20) and the one before is 25121.
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 2774th one is 25127.
- 2
25127 is prime because no prime up to ā25127 ā 158.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2774th prime is close to 2774 Ć ln(2774) ā 21992, and here it is 25127.
- 4
25127 has no twin: neither 25125 nor 25129 is prime.
Primes around the 2774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2771 | 25111 | 14 |
| 2772 | 25117 | 6 |
| 2773 | 25121 | 4 |
| 2774 | 25127 | 6 |
| 2775 | 25147 | 20 |
| 2776 | 25153 | 6 |
| 2777 | 25163 | 10 |
Questions
What is the 2774th prime number?
25127.
Which prime number is 25127?
25127 is the 2774th prime number.
What is the sum of the first 2774 primes?
32,706,621.