What is the 2579th prime number?
The 2579th prime number is 23087. The next prime is 23099 (a gap of 12) and the one before is 23081.
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 2579th one is 23087.
- 2
23087 is prime because no prime up to ā23087 ā 151.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2579th prime is close to 2579 Ć ln(2579) ā 20258, and here it is 23087.
- 4
23087 has no twin: neither 23085 nor 23089 is prime.
Primes around the 2579th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2576 | 23063 | 4 |
| 2577 | 23071 | 8 |
| 2578 | 23081 | 10 |
| 2579 | 23087 | 6 |
| 2580 | 23099 | 12 |
| 2581 | 23117 | 18 |
| 2582 | 23131 | 14 |
Questions
What is the 2579th prime number?
23087.
Which prime number is 23087?
23087 is the 2579th prime number.
What is the sum of the first 2579 primes?
28,007,118.