What is the 2565th prime number?
The 2565th prime number is 23003. The next prime is 23011 (a gap of 8) and the one before is 22993.
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 2565th one is 23003.
- 2
23003 is prime because no prime up to ā23003 ā 151.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2565th prime is close to 2565 Ć ln(2565) ā 20135, and here it is 23003.
- 4
23003 has no twin: neither 23001 nor 23005 is prime.
Primes around the 2565th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2562 | 22963 | 2 |
| 2563 | 22973 | 10 |
| 2564 | 22993 | 20 |
| 2565 | 23003 | 10 |
| 2566 | 23011 | 8 |
| 2567 | 23017 | 6 |
| 2568 | 23021 | 4 |
Questions
What is the 2565th prime number?
23003.
Which prime number is 23003?
23003 is the 2565th prime number.
What is the sum of the first 2565 primes?
27,684,462.