What is the 1533rd prime number?
The 1533rd prime number is 12889. The next prime is 12893 (a gap of 4) and the one before is 12853.
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 1533rd one is 12889.
- 2
12889 is prime because no prime up to ā12889 ā 113.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1533rd prime is close to 1533 Ć ln(1533) ā 11245, and here it is 12889.
- 4
12889 has no twin: neither 12887 nor 12891 is prime.
Primes around the 1533rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1530 | 12829 | 6 |
| 1531 | 12841 | 12 |
| 1532 | 12853 | 12 |
| 1533 | 12889 | 36 |
| 1534 | 12893 | 4 |
| 1535 | 12899 | 6 |
| 1536 | 12907 | 8 |
Questions
What is the 1533rd prime number?
12889.
Which prime number is 12889?
12889 is the 1533rd prime number.
What is the sum of the first 1533 primes?
9,216,068.