What is the 2527th prime number?
The 2527th prime number is 22621. The next prime is 22637 (a gap of 16) and the one before is 22619.
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 2527th one is 22621.
- 2
22621 is prime because no prime up to ā22621 ā 150.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2527th prime is close to 2527 Ć ln(2527) ā 19799, and here it is 22621.
- 4
22621 is a twin prime: 22619 and 22621 are both prime.
Primes around the 2527th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2524 | 22573 | 2 |
| 2525 | 22613 | 40 |
| 2526 | 22619 | 6 |
| 2527 | 22621 | 2 |
| 2528 | 22637 | 16 |
| 2529 | 22639 | 2 |
| 2530 | 22643 | 4 |
Questions
What is the 2527th prime number?
22621.
Which prime number is 22621?
22621 is the 2527th prime number.
What is the sum of the first 2527 primes?
26,817,978.