What is the 1511th prime number?
The 1511th prime number is 12647. The next prime is 12653 (a gap of 6) and the one before is 12641.
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 1511th one is 12647.
- 2
12647 is prime because no prime up to ā12647 ā 112.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1511th prime is close to 1511 Ć ln(1511) ā 11061, and here it is 12647.
- 4
12647 has no twin: neither 12645 nor 12649 is prime.
Primes around the 1511th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1508 | 12619 | 6 |
| 1509 | 12637 | 18 |
| 1510 | 12641 | 4 |
| 1511 | 12647 | 6 |
| 1512 | 12653 | 6 |
| 1513 | 12659 | 6 |
| 1514 | 12671 | 12 |
Questions
What is the 1511th prime number?
12647.
Which prime number is 12647?
12647 is the 1511th prime number.
What is the sum of the first 1511 primes?
8,935,324.