What is the 5212th prime number?
The 5212th prime number is 50891. The next prime is 50893 (a gap of 2) and the one before is 50873.
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 5212th one is 50891.
- 2
50891 is prime because no prime up to ā50891 ā 225.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5212th prime is close to 5212 Ć ln(5212) ā 44608, and here it is 50891.
- 4
50891 is a twin prime: 50891 and 50893 are both prime.
Primes around the 5212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5209 | 50857 | 8 |
| 5210 | 50867 | 10 |
| 5211 | 50873 | 6 |
| 5212 | 50891 | 18 |
| 5213 | 50893 | 2 |
| 5214 | 50909 | 16 |
| 5215 | 50923 | 14 |
Questions
What is the 5212th prime number?
50891.
Which prime number is 50891?
50891 is the 5212th prime number.
What is the sum of the first 5212 primes?
124,996,901.