What is the 1526th prime number?
The 1526th prime number is 12799. The next prime is 12809 (a gap of 10) and the one before is 12791.
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 1526th one is 12799.
- 2
12799 is prime because no prime up to ā12799 ā 113.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1526th prime is close to 1526 Ć ln(1526) ā 11186, and here it is 12799.
- 4
12799 has no twin: neither 12797 nor 12801 is prime.
Primes around the 1526th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1523 | 12763 | 6 |
| 1524 | 12781 | 18 |
| 1525 | 12791 | 10 |
| 1526 | 12799 | 8 |
| 1527 | 12809 | 10 |
| 1528 | 12821 | 12 |
| 1529 | 12823 | 2 |
Questions
What is the 1526th prime number?
12799.
Which prime number is 12799?
12799 is the 1526th prime number.
What is the sum of the first 1526 primes?
9,126,203.