What is the 2573rd prime number?
The 2573rd prime number is 23053. The next prime is 23057 (a gap of 4) and the one before is 23041.
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 2573rd one is 23053.
- 2
23053 is prime because no prime up to ā23053 ā 151.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2573rd prime is close to 2573 Ć ln(2573) ā 20205, and here it is 23053.
- 4
23053 has no twin: neither 23051 nor 23055 is prime.
Primes around the 2573rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2570 | 23029 | 2 |
| 2571 | 23039 | 10 |
| 2572 | 23041 | 2 |
| 2573 | 23053 | 12 |
| 2574 | 23057 | 4 |
| 2575 | 23059 | 2 |
| 2576 | 23063 | 4 |
Questions
What is the 2573rd prime number?
23053.
Which prime number is 23053?
23053 is the 2573rd prime number.
What is the sum of the first 2573 primes?
27,868,700.