What is the 5070th prime number?
The 5070th prime number is 49339. The next prime is 49363 (a gap of 24) and the one before is 49333.
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 5070th one is 49339.
- 2
49339 is prime because no prime up to ā49339 ā 222.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5070th prime is close to 5070 Ć ln(5070) ā 43253, and here it is 49339.
- 4
49339 has no twin: neither 49337 nor 49341 is prime.
Primes around the 5070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5067 | 49307 | 10 |
| 5068 | 49331 | 24 |
| 5069 | 49333 | 2 |
| 5070 | 49339 | 6 |
| 5071 | 49363 | 24 |
| 5072 | 49367 | 4 |
| 5073 | 49369 | 2 |
Questions
What is the 5070th prime number?
49339.
Which prime number is 49339?
49339 is the 5070th prime number.
What is the sum of the first 5070 primes?
117,883,917.