What is the 2566th prime number?
The 2566th prime number is 23011. The next prime is 23017 (a gap of 6) and the one before is 23003.
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 2566th one is 23011.
- 2
23011 is prime because no prime up to ā23011 ā 151.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2566th prime is close to 2566 Ć ln(2566) ā 20143, and here it is 23011.
- 4
23011 has no twin: neither 23009 nor 23013 is prime.
Primes around the 2566th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2563 | 22973 | 10 |
| 2564 | 22993 | 20 |
| 2565 | 23003 | 10 |
| 2566 | 23011 | 8 |
| 2567 | 23017 | 6 |
| 2568 | 23021 | 4 |
| 2569 | 23027 | 6 |
Questions
What is the 2566th prime number?
23011.
Which prime number is 23011?
23011 is the 2566th prime number.
What is the sum of the first 2566 primes?
27,707,473.