What is the 5071st prime number?
The 5071st prime number is 49363. The next prime is 49367 (a gap of 4) and the one before is 49339.
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 5071st one is 49363.
- 2
49363 is prime because no prime up to ā49363 ā 222.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5071st prime is close to 5071 Ć ln(5071) ā 43262, and here it is 49363.
- 4
49363 has no twin: neither 49361 nor 49365 is prime.
Primes around the 5071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5068 | 49331 | 24 |
| 5069 | 49333 | 2 |
| 5070 | 49339 | 6 |
| 5071 | 49363 | 24 |
| 5072 | 49367 | 4 |
| 5073 | 49369 | 2 |
| 5074 | 49391 | 22 |
Questions
What is the 5071st prime number?
49363.
Which prime number is 49363?
49363 is the 5071st prime number.
What is the sum of the first 5071 primes?
117,933,280.