What is the 2772nd prime number?
The 2772nd prime number is 25117. The next prime is 25121 (a gap of 4) and the one before is 25111.
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 2772nd one is 25117.
- 2
25117 is prime because no prime up to ā25117 ā 158.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2772nd prime is close to 2772 Ć ln(2772) ā 21975, and here it is 25117.
- 4
25117 has no twin: neither 25115 nor 25119 is prime.
Primes around the 2772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2769 | 25087 | 14 |
| 2770 | 25097 | 10 |
| 2771 | 25111 | 14 |
| 2772 | 25117 | 6 |
| 2773 | 25121 | 4 |
| 2774 | 25127 | 6 |
| 2775 | 25147 | 20 |
Questions
What is the 2772nd prime number?
25117.
Which prime number is 25117?
25117 is the 2772nd prime number.
What is the sum of the first 2772 primes?
32,656,373.