What is the 1563rd prime number?
The 1563rd prime number is 13147. The next prime is 13151 (a gap of 4) and the one before is 13127.
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 1563rd one is 13147.
- 2
13147 is prime because no prime up to ā13147 ā 114.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1563rd prime is close to 1563 Ć ln(1563) ā 11495, and here it is 13147.
- 4
13147 has no twin: neither 13145 nor 13149 is prime.
Primes around the 1563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1560 | 13109 | 6 |
| 1561 | 13121 | 12 |
| 1562 | 13127 | 6 |
| 1563 | 13147 | 20 |
| 1564 | 13151 | 4 |
| 1565 | 13159 | 8 |
| 1566 | 13163 | 4 |
Questions
What is the 1563rd prime number?
13147.
Which prime number is 13147?
13147 is the 1563rd prime number.
What is the sum of the first 1563 primes?
9,606,236.