What is the 1515th prime number?
The 1515th prime number is 12689. The next prime is 12697 (a gap of 8) and the one before is 12671.
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 1515th one is 12689.
- 2
12689 is prime because no prime up to ā12689 ā 112.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1515th prime is close to 1515 Ć ln(1515) ā 11095, and here it is 12689.
- 4
12689 has no twin: neither 12687 nor 12691 is prime.
Primes around the 1515th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1512 | 12653 | 6 |
| 1513 | 12659 | 6 |
| 1514 | 12671 | 12 |
| 1515 | 12689 | 18 |
| 1516 | 12697 | 8 |
| 1517 | 12703 | 6 |
| 1518 | 12713 | 10 |
Questions
What is the 1515th prime number?
12689.
Which prime number is 12689?
12689 is the 1515th prime number.
What is the sum of the first 1515 primes?
8,985,996.