What is the 2623rd prime number?
The 2623rd prime number is 23581. The next prime is 23593 (a gap of 12) and the one before is 23567.
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 2623rd one is 23581.
- 2
23581 is prime because no prime up to ā23581 ā 153.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2623rd prime is close to 2623 Ć ln(2623) ā 20648, and here it is 23581.
- 4
23581 has no twin: neither 23579 nor 23583 is prime.
Primes around the 2623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2620 | 23561 | 4 |
| 2621 | 23563 | 2 |
| 2622 | 23567 | 4 |
| 2623 | 23581 | 14 |
| 2624 | 23593 | 12 |
| 2625 | 23599 | 6 |
| 2626 | 23603 | 4 |
Questions
What is the 2623rd prime number?
23581.
Which prime number is 23581?
23581 is the 2623rd prime number.
What is the sum of the first 2623 primes?
29,034,358.