What is the 2593rd prime number?
The 2593rd prime number is 23251. The next prime is 23269 (a gap of 18) and the one before is 23227.
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 2593rd one is 23251.
- 2
23251 is prime because no prime up to ā23251 ā 152.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2593rd prime is close to 2593 Ć ln(2593) ā 20382, and here it is 23251.
- 4
23251 has no twin: neither 23249 nor 23253 is prime.
Primes around the 2593rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2590 | 23203 | 2 |
| 2591 | 23209 | 6 |
| 2592 | 23227 | 18 |
| 2593 | 23251 | 24 |
| 2594 | 23269 | 18 |
| 2595 | 23279 | 10 |
| 2596 | 23291 | 12 |
Questions
What is the 2593rd prime number?
23251.
Which prime number is 23251?
23251 is the 2593rd prime number.
What is the sum of the first 2593 primes?
28,331,584.