What is the 2512th prime number?
The 2512th prime number is 22453. The next prime is 22469 (a gap of 16) and the one before is 22447.
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 2512th one is 22453.
- 2
22453 is prime because no prime up to ā22453 ā 149.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2512th prime is close to 2512 Ć ln(2512) ā 19666, and here it is 22453.
- 4
22453 has no twin: neither 22451 nor 22455 is prime.
Primes around the 2512th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2509 | 22433 | 24 |
| 2510 | 22441 | 8 |
| 2511 | 22447 | 6 |
| 2512 | 22453 | 6 |
| 2513 | 22469 | 16 |
| 2514 | 22481 | 12 |
| 2515 | 22483 | 2 |
Questions
What is the 2512th prime number?
22453.
Which prime number is 22453?
22453 is the 2512th prime number.
What is the sum of the first 2512 primes?
26,479,805.