What is the 2585th prime number?
The 2585th prime number is 23167. The next prime is 23173 (a gap of 6) and the one before is 23159.
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 2585th one is 23167.
- 2
23167 is prime because no prime up to ā23167 ā 152.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2585th prime is close to 2585 Ć ln(2585) ā 20312, and here it is 23167.
- 4
23167 has no twin: neither 23165 nor 23169 is prime.
Primes around the 2585th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2582 | 23131 | 14 |
| 2583 | 23143 | 12 |
| 2584 | 23159 | 16 |
| 2585 | 23167 | 8 |
| 2586 | 23173 | 6 |
| 2587 | 23189 | 16 |
| 2588 | 23197 | 8 |
Questions
What is the 2585th prime number?
23167.
Which prime number is 23167?
23167 is the 2585th prime number.
What is the sum of the first 2585 primes?
28,145,934.