What is the 1513th prime number?
The 1513th prime number is 12659. The next prime is 12671 (a gap of 12) and the one before is 12653.
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 1513th one is 12659.
- 2
12659 is prime because no prime up to ā12659 ā 112.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1513th prime is close to 1513 Ć ln(1513) ā 11078, and here it is 12659.
- 4
12659 has no twin: neither 12657 nor 12661 is prime.
Primes around the 1513th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1510 | 12641 | 4 |
| 1511 | 12647 | 6 |
| 1512 | 12653 | 6 |
| 1513 | 12659 | 6 |
| 1514 | 12671 | 12 |
| 1515 | 12689 | 18 |
| 1516 | 12697 | 8 |
Questions
What is the 1513th prime number?
12659.
Which prime number is 12659?
12659 is the 1513th prime number.
What is the sum of the first 1513 primes?
8,960,636.