What is the 32nd prime number?
The 32nd prime number is 131. The next prime is 137 (a gap of 6) and the one before is 127.
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 32nd one is 131.
- 2
131 is prime because no prime up to ā131 ā 11.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 32nd prime is close to 32 Ć ln(32) ā 111, and here it is 131.
- 4
131 has no twin: neither 129 nor 133 is prime.
Primes around the 32nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 29 | 109 | 2 |
| 30 | 113 | 4 |
| 31 | 127 | 14 |
| 32 | 131 | 4 |
| 33 | 137 | 6 |
| 34 | 139 | 2 |
| 35 | 149 | 10 |
Questions
What is the 32nd prime number?
131.
Which prime number is 131?
131 is the 32nd prime number.
What is the sum of the first 32 primes?
1,851.