What is the 5137th prime number?
The 5137th prime number is 50047. The next prime is 50051 (a gap of 4) and the one before is 50033.
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 5137th one is 50047.
- 2
50047 is prime because no prime up to ā50047 ā 223.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5137th prime is close to 5137 Ć ln(5137) ā 43892, and here it is 50047.
- 4
50047 has no twin: neither 50045 nor 50049 is prime.
Primes around the 5137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5134 | 50021 | 22 |
| 5135 | 50023 | 2 |
| 5136 | 50033 | 10 |
| 5137 | 50047 | 14 |
| 5138 | 50051 | 4 |
| 5139 | 50053 | 2 |
| 5140 | 50069 | 16 |
Questions
What is the 5137th prime number?
50047.
Which prime number is 50047?
50047 is the 5137th prime number.
What is the sum of the first 5137 primes?
121,213,432.