What is the 2771st prime number?
The 2771st prime number is 25111. The next prime is 25117 (a gap of 6) and the one before is 25097.
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 2771st one is 25111.
- 2
25111 is prime because no prime up to ā25111 ā 158.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2771st prime is close to 2771 Ć ln(2771) ā 21966, and here it is 25111.
- 4
25111 has no twin: neither 25109 nor 25113 is prime.
Primes around the 2771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2768 | 25073 | 16 |
| 2769 | 25087 | 14 |
| 2770 | 25097 | 10 |
| 2771 | 25111 | 14 |
| 2772 | 25117 | 6 |
| 2773 | 25121 | 4 |
| 2774 | 25127 | 6 |
Questions
What is the 2771st prime number?
25111.
Which prime number is 25111?
25111 is the 2771st prime number.
What is the sum of the first 2771 primes?
32,631,256.