What is the 5871st prime number?
The 5871st prime number is 57973. The next prime is 57977 (a gap of 4) and the one before is 57947.
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 5871st one is 57973.
- 2
57973 is prime because no prime up to ā57973 ā 240.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5871st prime is close to 5871 Ć ln(5871) ā 50947, and here it is 57973.
- 4
57973 has no twin: neither 57971 nor 57975 is prime.
Primes around the 5871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5868 | 57923 | 6 |
| 5869 | 57943 | 20 |
| 5870 | 57947 | 4 |
| 5871 | 57973 | 26 |
| 5872 | 57977 | 4 |
| 5873 | 57991 | 14 |
| 5874 | 58013 | 22 |
Questions
What is the 5871st prime number?
57973.
Which prime number is 57973?
57973 is the 5871st prime number.
What is the sum of the first 5871 primes?
160,880,448.