What is the 5140th prime number?
The 5140th prime number is 50069. The next prime is 50077 (a gap of 8) and the one before is 50053.
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 5140th one is 50069.
- 2
50069 is prime because no prime up to ā50069 ā 223.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5140th prime is close to 5140 Ć ln(5140) ā 43920, and here it is 50069.
- 4
50069 has no twin: neither 50067 nor 50071 is prime.
Primes around the 5140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5137 | 50047 | 14 |
| 5138 | 50051 | 4 |
| 5139 | 50053 | 2 |
| 5140 | 50069 | 16 |
| 5141 | 50077 | 8 |
| 5142 | 50087 | 10 |
| 5143 | 50093 | 6 |
Questions
What is the 5140th prime number?
50069.
Which prime number is 50069?
50069 is the 5140th prime number.
What is the sum of the first 5140 primes?
121,363,605.