What is the 5136th prime number?
The 5136th prime number is 50033. The next prime is 50047 (a gap of 14) and the one before is 50023.
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 5136th one is 50033.
- 2
50033 is prime because no prime up to ā50033 ā 223.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5136th prime is close to 5136 Ć ln(5136) ā 43882, and here it is 50033.
- 4
50033 has no twin: neither 50031 nor 50035 is prime.
Primes around the 5136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5133 | 49999 | 6 |
| 5134 | 50021 | 22 |
| 5135 | 50023 | 2 |
| 5136 | 50033 | 10 |
| 5137 | 50047 | 14 |
| 5138 | 50051 | 4 |
| 5139 | 50053 | 2 |
Questions
What is the 5136th prime number?
50033.
Which prime number is 50033?
50033 is the 5136th prime number.
What is the sum of the first 5136 primes?
121,163,385.