What is the 5147th prime number?
The 5147th prime number is 50123. The next prime is 50129 (a gap of 6) and the one before is 50119.
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 5147th one is 50123.
- 2
50123 is prime because no prime up to ā50123 ā 223.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5147th prime is close to 5147 Ć ln(5147) ā 43987, and here it is 50123.
- 4
50123 has no twin: neither 50121 nor 50125 is prime.
Primes around the 5147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5144 | 50101 | 8 |
| 5145 | 50111 | 10 |
| 5146 | 50119 | 8 |
| 5147 | 50123 | 4 |
| 5148 | 50129 | 6 |
| 5149 | 50131 | 2 |
| 5150 | 50147 | 16 |
Questions
What is the 5147th prime number?
50123.
Which prime number is 50123?
50123 is the 5147th prime number.
What is the sum of the first 5147 primes?
121,714,316.