What is the 2580th prime number?
The 2580th prime number is 23099. The next prime is 23117 (a gap of 18) and the one before is 23087.
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 2580th one is 23099.
- 2
23099 is prime because no prime up to ā23099 ā 151.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2580th prime is close to 2580 Ć ln(2580) ā 20267, and here it is 23099.
- 4
23099 has no twin: neither 23097 nor 23101 is prime.
Primes around the 2580th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2577 | 23071 | 8 |
| 2578 | 23081 | 10 |
| 2579 | 23087 | 6 |
| 2580 | 23099 | 12 |
| 2581 | 23117 | 18 |
| 2582 | 23131 | 14 |
| 2583 | 23143 | 12 |
Questions
What is the 2580th prime number?
23099.
Which prime number is 23099?
23099 is the 2580th prime number.
What is the sum of the first 2580 primes?
28,030,217.