What is the 5145th prime number?
The 5145th prime number is 50111. The next prime is 50119 (a gap of 8) and the one before is 50101.
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 5145th one is 50111.
- 2
50111 is prime because no prime up to ā50111 ā 223.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5145th prime is close to 5145 Ć ln(5145) ā 43968, and here it is 50111.
- 4
50111 has no twin: neither 50109 nor 50113 is prime.
Primes around the 5145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5142 | 50087 | 10 |
| 5143 | 50093 | 6 |
| 5144 | 50101 | 8 |
| 5145 | 50111 | 10 |
| 5146 | 50119 | 8 |
| 5147 | 50123 | 4 |
| 5148 | 50129 | 6 |
Questions
What is the 5145th prime number?
50111.
Which prime number is 50111?
50111 is the 5145th prime number.
What is the sum of the first 5145 primes?
121,614,074.