What is the 1522nd prime number?
The 1522nd prime number is 12757. The next prime is 12763 (a gap of 6) and the one before is 12743.
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 1522nd one is 12757.
- 2
12757 is prime because no prime up to ā12757 ā 112.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1522nd prime is close to 1522 Ć ln(1522) ā 11153, and here it is 12757.
- 4
12757 has no twin: neither 12755 nor 12759 is prime.
Primes around the 1522nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1519 | 12721 | 8 |
| 1520 | 12739 | 18 |
| 1521 | 12743 | 4 |
| 1522 | 12757 | 14 |
| 1523 | 12763 | 6 |
| 1524 | 12781 | 18 |
| 1525 | 12791 | 10 |
Questions
What is the 1522nd prime number?
12757.
Which prime number is 12757?
12757 is the 1522nd prime number.
What is the sum of the first 1522 primes?
9,075,069.