What is the 5870th prime number?
The 5870th prime number is 57947. The next prime is 57973 (a gap of 26) and the one before is 57943.
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 5870th one is 57947.
- 2
57947 is prime because no prime up to ā57947 ā 240.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5870th prime is close to 5870 Ć ln(5870) ā 50938, and here it is 57947.
- 4
57947 has no twin: neither 57945 nor 57949 is prime.
Primes around the 5870th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5867 | 57917 | 16 |
| 5868 | 57923 | 6 |
| 5869 | 57943 | 20 |
| 5870 | 57947 | 4 |
| 5871 | 57973 | 26 |
| 5872 | 57977 | 4 |
| 5873 | 57991 | 14 |
Questions
What is the 5870th prime number?
57947.
Which prime number is 57947?
57947 is the 5870th prime number.
What is the sum of the first 5870 primes?
160,822,475.