What is the 1516th prime number?
The 1516th prime number is 12697. The next prime is 12703 (a gap of 6) and the one before is 12689.
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 1516th one is 12697.
- 2
12697 is prime because no prime up to ā12697 ā 112.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1516th prime is close to 1516 Ć ln(1516) ā 11103, and here it is 12697.
- 4
12697 has no twin: neither 12695 nor 12699 is prime.
Primes around the 1516th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1513 | 12659 | 6 |
| 1514 | 12671 | 12 |
| 1515 | 12689 | 18 |
| 1516 | 12697 | 8 |
| 1517 | 12703 | 6 |
| 1518 | 12713 | 10 |
| 1519 | 12721 | 8 |
Questions
What is the 1516th prime number?
12697.
Which prime number is 12697?
12697 is the 1516th prime number.
What is the sum of the first 1516 primes?
8,998,693.