What is the 1548th prime number?
The 1548th prime number is 13001. The next prime is 13003 (a gap of 2) and the one before is 12983.
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 1548th one is 13001.
- 2
13001 is prime because no prime up to ā13001 ā 114.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1548th prime is close to 1548 Ć ln(1548) ā 11370, and here it is 13001.
- 4
13001 is a twin prime: 13001 and 13003 are both prime.
Primes around the 1548th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1545 | 12973 | 6 |
| 1546 | 12979 | 6 |
| 1547 | 12983 | 4 |
| 1548 | 13001 | 18 |
| 1549 | 13003 | 2 |
| 1550 | 13007 | 4 |
| 1551 | 13009 | 2 |
Questions
What is the 1548th prime number?
13001.
Which prime number is 13001?
13001 is the 1548th prime number.
What is the sum of the first 1548 primes?
9,410,193.