What is the 2530th prime number?
The 2530th prime number is 22643. The next prime is 22651 (a gap of 8) and the one before is 22639.
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 2530th one is 22643.
- 2
22643 is prime because no prime up to ā22643 ā 150.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2530th prime is close to 2530 Ć ln(2530) ā 19825, and here it is 22643.
- 4
22643 has no twin: neither 22641 nor 22645 is prime.
Primes around the 2530th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2527 | 22621 | 2 |
| 2528 | 22637 | 16 |
| 2529 | 22639 | 2 |
| 2530 | 22643 | 4 |
| 2531 | 22651 | 8 |
| 2532 | 22669 | 18 |
| 2533 | 22679 | 10 |
Questions
What is the 2530th prime number?
22643.
Which prime number is 22643?
22643 is the 2530th prime number.
What is the sum of the first 2530 primes?
26,885,897.