What is the 2577th prime number?
The 2577th prime number is 23071. The next prime is 23081 (a gap of 10) and the one before is 23063.
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 2577th one is 23071.
- 2
23071 is prime because no prime up to ā23071 ā 151.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2577th prime is close to 2577 Ć ln(2577) ā 20241, and here it is 23071.
- 4
23071 has no twin: neither 23069 nor 23073 is prime.
Primes around the 2577th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2574 | 23057 | 4 |
| 2575 | 23059 | 2 |
| 2576 | 23063 | 4 |
| 2577 | 23071 | 8 |
| 2578 | 23081 | 10 |
| 2579 | 23087 | 6 |
| 2580 | 23099 | 12 |
Questions
What is the 2577th prime number?
23071.
Which prime number is 23071?
23071 is the 2577th prime number.
What is the sum of the first 2577 primes?
27,960,950.