What is the 2533rd prime number?
The 2533rd prime number is 22679. The next prime is 22691 (a gap of 12) and the one before is 22669.
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 2533rd one is 22679.
- 2
22679 is prime because no prime up to ā22679 ā 150.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2533rd prime is close to 2533 Ć ln(2533) ā 19852, and here it is 22679.
- 4
22679 has no twin: neither 22677 nor 22681 is prime.
Primes around the 2533rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2530 | 22643 | 4 |
| 2531 | 22651 | 8 |
| 2532 | 22669 | 18 |
| 2533 | 22679 | 10 |
| 2534 | 22691 | 12 |
| 2535 | 22697 | 6 |
| 2536 | 22699 | 2 |
Questions
What is the 2533rd prime number?
22679.
Which prime number is 22679?
22679 is the 2533rd prime number.
What is the sum of the first 2533 primes?
26,953,896.