What is the 1512th prime number?
The 1512th prime number is 12653. The next prime is 12659 (a gap of 6) and the one before is 12647.
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 1512th one is 12653.
- 2
12653 is prime because no prime up to ā12653 ā 112.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1512th prime is close to 1512 Ć ln(1512) ā 11070, and here it is 12653.
- 4
12653 has no twin: neither 12651 nor 12655 is prime.
Primes around the 1512th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1509 | 12637 | 18 |
| 1510 | 12641 | 4 |
| 1511 | 12647 | 6 |
| 1512 | 12653 | 6 |
| 1513 | 12659 | 6 |
| 1514 | 12671 | 12 |
| 1515 | 12689 | 18 |
Questions
What is the 1512th prime number?
12653.
Which prime number is 12653?
12653 is the 1512th prime number.
What is the sum of the first 1512 primes?
8,947,977.