What is the 132nd prime number?
The 132nd prime number is 743. The next prime is 751 (a gap of 8) and the one before is 739.
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 132nd one is 743.
- 2
743 is prime because no prime up to ā743 ā 27.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 132nd prime is close to 132 Ć ln(132) ā 645, and here it is 743.
- 4
743 has no twin: neither 741 nor 745 is prime.
Primes around the 132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 129 | 727 | 8 |
| 130 | 733 | 6 |
| 131 | 739 | 6 |
| 132 | 743 | 4 |
| 133 | 751 | 8 |
| 134 | 757 | 6 |
| 135 | 761 | 4 |
Questions
What is the 132nd prime number?
743.
Which prime number is 743?
743 is the 132nd prime number.
What is the sum of the first 132 primes?
44,683.