What is the 2528th prime number?
The 2528th prime number is 22637. The next prime is 22639 (a gap of 2) and the one before is 22621.
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 2528th one is 22637.
- 2
22637 is prime because no prime up to ā22637 ā 150.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2528th prime is close to 2528 Ć ln(2528) ā 19807, and here it is 22637.
- 4
22637 is a twin prime: 22637 and 22639 are both prime.
Primes around the 2528th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2525 | 22613 | 40 |
| 2526 | 22619 | 6 |
| 2527 | 22621 | 2 |
| 2528 | 22637 | 16 |
| 2529 | 22639 | 2 |
| 2530 | 22643 | 4 |
| 2531 | 22651 | 8 |
Questions
What is the 2528th prime number?
22637.
Which prime number is 22637?
22637 is the 2528th prime number.
What is the sum of the first 2528 primes?
26,840,615.