What is the 5166th prime number?
The 5166th prime number is 50333. The next prime is 50341 (a gap of 8) and the one before is 50329.
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 5166th one is 50333.
- 2
50333 is prime because no prime up to ā50333 ā 224.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5166th prime is close to 5166 Ć ln(5166) ā 44169, and here it is 50333.
- 4
50333 has no twin: neither 50331 nor 50335 is prime.
Primes around the 5166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5163 | 50311 | 20 |
| 5164 | 50321 | 10 |
| 5165 | 50329 | 8 |
| 5166 | 50333 | 4 |
| 5167 | 50341 | 8 |
| 5168 | 50359 | 18 |
| 5169 | 50363 | 4 |
Questions
What is the 5166th prime number?
50333.
Which prime number is 50333?
50333 is the 5166th prime number.
What is the sum of the first 5166 primes?
122,668,767.