What is the 2529th prime number?
The 2529th prime number is 22639. The next prime is 22643 (a gap of 4) and the one before is 22637.
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 2529th one is 22639.
- 2
22639 is prime because no prime up to ā22639 ā 150.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2529th prime is close to 2529 Ć ln(2529) ā 19816, and here it is 22639.
- 4
22639 is a twin prime: 22637 and 22639 are both prime.
Primes around the 2529th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2526 | 22619 | 6 |
| 2527 | 22621 | 2 |
| 2528 | 22637 | 16 |
| 2529 | 22639 | 2 |
| 2530 | 22643 | 4 |
| 2531 | 22651 | 8 |
| 2532 | 22669 | 18 |
Questions
What is the 2529th prime number?
22639.
Which prime number is 22639?
22639 is the 2529th prime number.
What is the sum of the first 2529 primes?
26,863,254.