What is the 5195th prime number?
The 5195th prime number is 50671. The next prime is 50683 (a gap of 12) and the one before is 50651.
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 5195th one is 50671.
- 2
50671 is prime because no prime up to ā50671 ā 225.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5195th prime is close to 5195 Ć ln(5195) ā 44446, and here it is 50671.
- 4
50671 has no twin: neither 50669 nor 50673 is prime.
Primes around the 5195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5192 | 50627 | 28 |
| 5193 | 50647 | 20 |
| 5194 | 50651 | 4 |
| 5195 | 50671 | 20 |
| 5196 | 50683 | 12 |
| 5197 | 50707 | 24 |
| 5198 | 50723 | 16 |
Questions
What is the 5195th prime number?
50671.
Which prime number is 50671?
50671 is the 5195th prime number.
What is the sum of the first 5195 primes?
124,133,358.