What is the 1550th prime number?
The 1550th prime number is 13007. The next prime is 13009 (a gap of 2) and the one before is 13003.
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 1550th one is 13007.
- 2
13007 is prime because no prime up to ā13007 ā 114.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1550th prime is close to 1550 Ć ln(1550) ā 11386, and here it is 13007.
- 4
13007 is a twin prime: 13007 and 13009 are both prime.
Primes around the 1550th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1547 | 12983 | 4 |
| 1548 | 13001 | 18 |
| 1549 | 13003 | 2 |
| 1550 | 13007 | 4 |
| 1551 | 13009 | 2 |
| 1552 | 13033 | 24 |
| 1553 | 13037 | 4 |
Questions
What is the 1550th prime number?
13007.
Which prime number is 13007?
13007 is the 1550th prime number.
What is the sum of the first 1550 primes?
9,436,203.