What is the 5132nd prime number?
The 5132nd prime number is 49993. The next prime is 49999 (a gap of 6) and the one before is 49991.
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 5132nd one is 49993.
- 2
49993 is prime because no prime up to ā49993 ā 223.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5132nd prime is close to 5132 Ć ln(5132) ā 43844, and here it is 49993.
- 4
49993 is a twin prime: 49991 and 49993 are both prime.
Primes around the 5132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5129 | 49943 | 4 |
| 5130 | 49957 | 14 |
| 5131 | 49991 | 34 |
| 5132 | 49993 | 2 |
| 5133 | 49999 | 6 |
| 5134 | 50021 | 22 |
| 5135 | 50023 | 2 |
Questions
What is the 5132nd prime number?
49993.
Which prime number is 49993?
49993 is the 5132nd prime number.
What is the sum of the first 5132 primes?
120,963,309.