What is the 1517th prime number?
The 1517th prime number is 12703. The next prime is 12713 (a gap of 10) and the one before is 12697.
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 1517th one is 12703.
- 2
12703 is prime because no prime up to ā12703 ā 112.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1517th prime is close to 1517 Ć ln(1517) ā 11111, and here it is 12703.
- 4
12703 has no twin: neither 12701 nor 12705 is prime.
Primes around the 1517th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1514 | 12671 | 12 |
| 1515 | 12689 | 18 |
| 1516 | 12697 | 8 |
| 1517 | 12703 | 6 |
| 1518 | 12713 | 10 |
| 1519 | 12721 | 8 |
| 1520 | 12739 | 18 |
Questions
What is the 1517th prime number?
12703.
Which prime number is 12703?
12703 is the 1517th prime number.
What is the sum of the first 1517 primes?
9,011,396.