What is the 2586th prime number?
The 2586th prime number is 23173. The next prime is 23189 (a gap of 16) and the one before is 23167.
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 2586th one is 23173.
- 2
23173 is prime because no prime up to ā23173 ā 152.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2586th prime is close to 2586 Ć ln(2586) ā 20320, and here it is 23173.
- 4
23173 has no twin: neither 23171 nor 23175 is prime.
Primes around the 2586th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2583 | 23143 | 12 |
| 2584 | 23159 | 16 |
| 2585 | 23167 | 8 |
| 2586 | 23173 | 6 |
| 2587 | 23189 | 16 |
| 2588 | 23197 | 8 |
| 2589 | 23201 | 4 |
Questions
What is the 2586th prime number?
23173.
Which prime number is 23173?
23173 is the 2586th prime number.
What is the sum of the first 2586 primes?
28,169,107.