What is the 3132nd prime number?
The 3132nd prime number is 28753. The next prime is 28759 (a gap of 6) and the one before is 28751.
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 3132nd one is 28753.
- 2
28753 is prime because no prime up to ā28753 ā 169.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3132nd prime is close to 3132 Ć ln(3132) ā 25211, and here it is 28753.
- 4
28753 is a twin prime: 28751 and 28753 are both prime.
Primes around the 3132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3129 | 28723 | 12 |
| 3130 | 28729 | 6 |
| 3131 | 28751 | 22 |
| 3132 | 28753 | 2 |
| 3133 | 28759 | 6 |
| 3134 | 28771 | 12 |
| 3135 | 28789 | 18 |
Questions
What is the 3132nd prime number?
28753.
Which prime number is 28753?
28753 is the 3132nd prime number.
What is the sum of the first 3132 primes?
42,358,305.