What is the 1523rd prime number?
The 1523rd prime number is 12763. The next prime is 12781 (a gap of 18) and the one before is 12757.
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 1523rd one is 12763.
- 2
12763 is prime because no prime up to ā12763 ā 112.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1523rd prime is close to 1523 Ć ln(1523) ā 11161, and here it is 12763.
- 4
12763 has no twin: neither 12761 nor 12765 is prime.
Primes around the 1523rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1520 | 12739 | 18 |
| 1521 | 12743 | 4 |
| 1522 | 12757 | 14 |
| 1523 | 12763 | 6 |
| 1524 | 12781 | 18 |
| 1525 | 12791 | 10 |
| 1526 | 12799 | 8 |
Questions
What is the 1523rd prime number?
12763.
Which prime number is 12763?
12763 is the 1523rd prime number.
What is the sum of the first 1523 primes?
9,087,832.