What is the 5197th prime number?
The 5197th prime number is 50707. The next prime is 50723 (a gap of 16) and the one before is 50683.
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 5197th one is 50707.
- 2
50707 is prime because no prime up to ā50707 ā 225.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5197th prime is close to 5197 Ć ln(5197) ā 44465, and here it is 50707.
- 4
50707 has no twin: neither 50705 nor 50709 is prime.
Primes around the 5197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5194 | 50651 | 4 |
| 5195 | 50671 | 20 |
| 5196 | 50683 | 12 |
| 5197 | 50707 | 24 |
| 5198 | 50723 | 16 |
| 5199 | 50741 | 18 |
| 5200 | 50753 | 12 |
Questions
What is the 5197th prime number?
50707.
Which prime number is 50707?
50707 is the 5197th prime number.
What is the sum of the first 5197 primes?
124,234,748.