What is the 2612th prime number?
The 2612th prime number is 23473. The next prime is 23497 (a gap of 24) and the one before is 23459.
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 2612th one is 23473.
- 2
23473 is prime because no prime up to ā23473 ā 153.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2612th prime is close to 2612 Ć ln(2612) ā 20551, and here it is 23473.
- 4
23473 has no twin: neither 23471 nor 23475 is prime.
Primes around the 2612th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2609 | 23431 | 14 |
| 2610 | 23447 | 16 |
| 2611 | 23459 | 12 |
| 2612 | 23473 | 14 |
| 2613 | 23497 | 24 |
| 2614 | 23509 | 12 |
| 2615 | 23531 | 22 |
Questions
What is the 2612th prime number?
23473.
Which prime number is 23473?
23473 is the 2612th prime number.
What is the sum of the first 2612 primes?
28,775,367.