What is the 5172nd prime number?
The 5172nd prime number is 50387. The next prime is 50411 (a gap of 24) and the one before is 50383.
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 5172nd one is 50387.
- 2
50387 is prime because no prime up to ā50387 ā 224.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5172nd prime is close to 5172 Ć ln(5172) ā 44226, and here it is 50387.
- 4
50387 has no twin: neither 50385 nor 50389 is prime.
Primes around the 5172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5169 | 50363 | 4 |
| 5170 | 50377 | 14 |
| 5171 | 50383 | 6 |
| 5172 | 50387 | 4 |
| 5173 | 50411 | 24 |
| 5174 | 50417 | 6 |
| 5175 | 50423 | 6 |
Questions
What is the 5172nd prime number?
50387.
Which prime number is 50387?
50387 is the 5172nd prime number.
What is the sum of the first 5172 primes?
122,970,977.