What is the 2578th prime number?
The 2578th prime number is 23081. The next prime is 23087 (a gap of 6) and the one before is 23071.
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 2578th one is 23081.
- 2
23081 is prime because no prime up to ā23081 ā 151.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2578th prime is close to 2578 Ć ln(2578) ā 20250, and here it is 23081.
- 4
23081 has no twin: neither 23079 nor 23083 is prime.
Primes around the 2578th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2575 | 23059 | 2 |
| 2576 | 23063 | 4 |
| 2577 | 23071 | 8 |
| 2578 | 23081 | 10 |
| 2579 | 23087 | 6 |
| 2580 | 23099 | 12 |
| 2581 | 23117 | 18 |
Questions
What is the 2578th prime number?
23081.
Which prime number is 23081?
23081 is the 2578th prime number.
What is the sum of the first 2578 primes?
27,984,031.