What is the 2532nd prime number?
The 2532nd prime number is 22669. The next prime is 22679 (a gap of 10) and the one before is 22651.
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 2532nd one is 22669.
- 2
22669 is prime because no prime up to ā22669 ā 150.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2532nd prime is close to 2532 Ć ln(2532) ā 19843, and here it is 22669.
- 4
22669 has no twin: neither 22667 nor 22671 is prime.
Primes around the 2532nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2529 | 22639 | 2 |
| 2530 | 22643 | 4 |
| 2531 | 22651 | 8 |
| 2532 | 22669 | 18 |
| 2533 | 22679 | 10 |
| 2534 | 22691 | 12 |
| 2535 | 22697 | 6 |
Questions
What is the 2532nd prime number?
22669.
Which prime number is 22669?
22669 is the 2532nd prime number.
What is the sum of the first 2532 primes?
26,931,217.