What is the 1521st prime number?
The 1521st prime number is 12743. The next prime is 12757 (a gap of 14) and the one before is 12739.
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 1521st one is 12743.
- 2
12743 is prime because no prime up to ā12743 ā 112.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1521st prime is close to 1521 Ć ln(1521) ā 11145, and here it is 12743.
- 4
12743 has no twin: neither 12741 nor 12745 is prime.
Primes around the 1521st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1518 | 12713 | 10 |
| 1519 | 12721 | 8 |
| 1520 | 12739 | 18 |
| 1521 | 12743 | 4 |
| 1522 | 12757 | 14 |
| 1523 | 12763 | 6 |
| 1524 | 12781 | 18 |
Questions
What is the 1521st prime number?
12743.
Which prime number is 12743?
12743 is the 1521st prime number.
What is the sum of the first 1521 primes?
9,062,312.