What is the 5171st prime number?
The 5171st prime number is 50383. The next prime is 50387 (a gap of 4) and the one before is 50377.
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 5171st one is 50383.
- 2
50383 is prime because no prime up to ā50383 ā 224.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5171st prime is close to 5171 Ć ln(5171) ā 44216, and here it is 50383.
- 4
50383 has no twin: neither 50381 nor 50385 is prime.
Primes around the 5171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5168 | 50359 | 18 |
| 5169 | 50363 | 4 |
| 5170 | 50377 | 14 |
| 5171 | 50383 | 6 |
| 5172 | 50387 | 4 |
| 5173 | 50411 | 24 |
| 5174 | 50417 | 6 |
Questions
What is the 5171st prime number?
50383.
Which prime number is 50383?
50383 is the 5171st prime number.
What is the sum of the first 5171 primes?
122,920,590.