What is the 2590th prime number?
The 2590th prime number is 23203. The next prime is 23209 (a gap of 6) and the one before is 23201.
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 2590th one is 23203.
- 2
23203 is prime because no prime up to ā23203 ā 152.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2590th prime is close to 2590 Ć ln(2590) ā 20356, and here it is 23203.
- 4
23203 is a twin prime: 23201 and 23203 are both prime.
Primes around the 2590th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2587 | 23189 | 16 |
| 2588 | 23197 | 8 |
| 2589 | 23201 | 4 |
| 2590 | 23203 | 2 |
| 2591 | 23209 | 6 |
| 2592 | 23227 | 18 |
| 2593 | 23251 | 24 |
Questions
What is the 2590th prime number?
23203.
Which prime number is 23203?
23203 is the 2590th prime number.
What is the sum of the first 2590 primes?
28,261,897.