What is the 1549th prime number?
The 1549th prime number is 13003. The next prime is 13007 (a gap of 4) and the one before is 13001.
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 1549th one is 13003.
- 2
13003 is prime because no prime up to ā13003 ā 114.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1549th prime is close to 1549 Ć ln(1549) ā 11378, and here it is 13003.
- 4
13003 is a twin prime: 13001 and 13003 are both prime.
Primes around the 1549th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1546 | 12979 | 6 |
| 1547 | 12983 | 4 |
| 1548 | 13001 | 18 |
| 1549 | 13003 | 2 |
| 1550 | 13007 | 4 |
| 1551 | 13009 | 2 |
| 1552 | 13033 | 24 |
Questions
What is the 1549th prime number?
13003.
Which prime number is 13003?
13003 is the 1549th prime number.
What is the sum of the first 1549 primes?
9,423,196.