What is the 1525th prime number?
The 1525th prime number is 12791. The next prime is 12799 (a gap of 8) and the one before is 12781.
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 1525th one is 12791.
- 2
12791 is prime because no prime up to ā12791 ā 113.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1525th prime is close to 1525 Ć ln(1525) ā 11178, and here it is 12791.
- 4
12791 has no twin: neither 12789 nor 12793 is prime.
Primes around the 1525th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1522 | 12757 | 14 |
| 1523 | 12763 | 6 |
| 1524 | 12781 | 18 |
| 1525 | 12791 | 10 |
| 1526 | 12799 | 8 |
| 1527 | 12809 | 10 |
| 1528 | 12821 | 12 |
Questions
What is the 1525th prime number?
12791.
Which prime number is 12791?
12791 is the 1525th prime number.
What is the sum of the first 1525 primes?
9,113,404.