What is the 2576th prime number?
The 2576th prime number is 23063. The next prime is 23071 (a gap of 8) and the one before is 23059.
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 2576th one is 23063.
- 2
23063 is prime because no prime up to ā23063 ā 151.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2576th prime is close to 2576 Ć ln(2576) ā 20232, and here it is 23063.
- 4
23063 has no twin: neither 23061 nor 23065 is prime.
Primes around the 2576th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2573 | 23053 | 12 |
| 2574 | 23057 | 4 |
| 2575 | 23059 | 2 |
| 2576 | 23063 | 4 |
| 2577 | 23071 | 8 |
| 2578 | 23081 | 10 |
| 2579 | 23087 | 6 |
Questions
What is the 2576th prime number?
23063.
Which prime number is 23063?
23063 is the 2576th prime number.
What is the sum of the first 2576 primes?
27,937,879.