What is the 2583rd prime number?
The 2583rd prime number is 23143. The next prime is 23159 (a gap of 16) and the one before is 23131.
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 2583rd one is 23143.
- 2
23143 is prime because no prime up to ā23143 ā 152.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2583rd prime is close to 2583 Ć ln(2583) ā 20294, and here it is 23143.
- 4
23143 has no twin: neither 23141 nor 23145 is prime.
Primes around the 2583rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2580 | 23099 | 12 |
| 2581 | 23117 | 18 |
| 2582 | 23131 | 14 |
| 2583 | 23143 | 12 |
| 2584 | 23159 | 16 |
| 2585 | 23167 | 8 |
| 2586 | 23173 | 6 |
Questions
What is the 2583rd prime number?
23143.
Which prime number is 23143?
23143 is the 2583rd prime number.
What is the sum of the first 2583 primes?
28,099,608.