What is the 5139th prime number?
The 5139th prime number is 50053. The next prime is 50069 (a gap of 16) and the one before is 50051.
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 5139th one is 50053.
- 2
50053 is prime because no prime up to ā50053 ā 223.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5139th prime is close to 5139 Ć ln(5139) ā 43911, and here it is 50053.
- 4
50053 is a twin prime: 50051 and 50053 are both prime.
Primes around the 5139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5136 | 50033 | 10 |
| 5137 | 50047 | 14 |
| 5138 | 50051 | 4 |
| 5139 | 50053 | 2 |
| 5140 | 50069 | 16 |
| 5141 | 50077 | 8 |
| 5142 | 50087 | 10 |
Questions
What is the 5139th prime number?
50053.
Which prime number is 50053?
50053 is the 5139th prime number.
What is the sum of the first 5139 primes?
121,313,536.