What is the 2582nd prime number?
The 2582nd prime number is 23131. The next prime is 23143 (a gap of 12) and the one before is 23117.
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 2582nd one is 23131.
- 2
23131 is prime because no prime up to ā23131 ā 152.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2582nd prime is close to 2582 Ć ln(2582) ā 20285, and here it is 23131.
- 4
23131 has no twin: neither 23129 nor 23133 is prime.
Primes around the 2582nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2579 | 23087 | 6 |
| 2580 | 23099 | 12 |
| 2581 | 23117 | 18 |
| 2582 | 23131 | 14 |
| 2583 | 23143 | 12 |
| 2584 | 23159 | 16 |
| 2585 | 23167 | 8 |
Questions
What is the 2582nd prime number?
23131.
Which prime number is 23131?
23131 is the 2582nd prime number.
What is the sum of the first 2582 primes?
28,076,465.