What is the 7871st prime number?
The 7871st prime number is 80387. The next prime is 80407 (a gap of 20) and the one before is 80369.
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 7871st one is 80387.
- 2
80387 is prime because no prime up to ā80387 ā 283.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7871st prime is close to 7871 Ć ln(7871) ā 70610, and here it is 80387.
- 4
80387 has no twin: neither 80385 nor 80389 is prime.
Primes around the 7871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7868 | 80347 | 6 |
| 7869 | 80363 | 16 |
| 7870 | 80369 | 6 |
| 7871 | 80387 | 18 |
| 7872 | 80407 | 20 |
| 7873 | 80429 | 22 |
| 7874 | 80447 | 18 |
Questions
What is the 7871st prime number?
80387.
Which prime number is 80387?
80387 is the 7871st prime number.
What is the sum of the first 7871 primes?
299,215,438.