What is the 1514th prime number?
The 1514th prime number is 12671. The next prime is 12689 (a gap of 18) and the one before is 12659.
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 1514th one is 12671.
- 2
12671 is prime because no prime up to ā12671 ā 112.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1514th prime is close to 1514 Ć ln(1514) ā 11086, and here it is 12671.
- 4
12671 has no twin: neither 12669 nor 12673 is prime.
Primes around the 1514th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1511 | 12647 | 6 |
| 1512 | 12653 | 6 |
| 1513 | 12659 | 6 |
| 1514 | 12671 | 12 |
| 1515 | 12689 | 18 |
| 1516 | 12697 | 8 |
| 1517 | 12703 | 6 |
Questions
What is the 1514th prime number?
12671.
Which prime number is 12671?
12671 is the 1514th prime number.
What is the sum of the first 1514 primes?
8,973,307.