What is the 5167th prime number?
The 5167th prime number is 50341. The next prime is 50359 (a gap of 18) and the one before is 50333.
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 5167th one is 50341.
- 2
50341 is prime because no prime up to ā50341 ā 224.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5167th prime is close to 5167 Ć ln(5167) ā 44178, and here it is 50341.
- 4
50341 has no twin: neither 50339 nor 50343 is prime.
Primes around the 5167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5164 | 50321 | 10 |
| 5165 | 50329 | 8 |
| 5166 | 50333 | 4 |
| 5167 | 50341 | 8 |
| 5168 | 50359 | 18 |
| 5169 | 50363 | 4 |
| 5170 | 50377 | 14 |
Questions
What is the 5167th prime number?
50341.
Which prime number is 50341?
50341 is the 5167th prime number.
What is the sum of the first 5167 primes?
122,719,108.