What is the 133rd prime number?
The 133rd prime number is 751. The next prime is 757 (a gap of 6) and the one before is 743.
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 133rd one is 751.
- 2
751 is prime because no prime up to ā751 ā 27.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 133rd prime is close to 133 Ć ln(133) ā 650, and here it is 751.
- 4
751 has no twin: neither 749 nor 753 is prime.
Primes around the 133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 130 | 733 | 6 |
| 131 | 739 | 6 |
| 132 | 743 | 4 |
| 133 | 751 | 8 |
| 134 | 757 | 6 |
| 135 | 761 | 4 |
| 136 | 769 | 8 |
Questions
What is the 133rd prime number?
751.
Which prime number is 751?
751 is the 133rd prime number.
What is the sum of the first 133 primes?
45,434.