What is the 1543rd prime number?
The 1543rd prime number is 12959. The next prime is 12967 (a gap of 8) and the one before is 12953.
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 1543rd one is 12959.
- 2
12959 is prime because no prime up to ā12959 ā 113.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1543rd prime is close to 1543 Ć ln(1543) ā 11328, and here it is 12959.
- 4
12959 has no twin: neither 12957 nor 12961 is prime.
Primes around the 1543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1540 | 12923 | 4 |
| 1541 | 12941 | 18 |
| 1542 | 12953 | 12 |
| 1543 | 12959 | 6 |
| 1544 | 12967 | 8 |
| 1545 | 12973 | 6 |
| 1546 | 12979 | 6 |
Questions
What is the 1543rd prime number?
12959.
Which prime number is 12959?
12959 is the 1543rd prime number.
What is the sum of the first 1543 primes?
9,345,290.