What is the 5170th prime number?
The 5170th prime number is 50377. The next prime is 50383 (a gap of 6) and the one before is 50363.
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 5170th one is 50377.
- 2
50377 is prime because no prime up to ā50377 ā 224.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5170th prime is close to 5170 Ć ln(5170) ā 44207, and here it is 50377.
- 4
50377 has no twin: neither 50375 nor 50379 is prime.
Primes around the 5170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5167 | 50341 | 8 |
| 5168 | 50359 | 18 |
| 5169 | 50363 | 4 |
| 5170 | 50377 | 14 |
| 5171 | 50383 | 6 |
| 5172 | 50387 | 4 |
| 5173 | 50411 | 24 |
Questions
What is the 5170th prime number?
50377.
Which prime number is 50377?
50377 is the 5170th prime number.
What is the sum of the first 5170 primes?
122,870,207.