What is the 7870th prime number?
The 7870th prime number is 80369. The next prime is 80387 (a gap of 18) and the one before is 80363.
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 7870th one is 80369.
- 2
80369 is prime because no prime up to ā80369 ā 283.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7870th prime is close to 7870 Ć ln(7870) ā 70600, and here it is 80369.
- 4
80369 has no twin: neither 80367 nor 80371 is prime.
Primes around the 7870th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7867 | 80341 | 12 |
| 7868 | 80347 | 6 |
| 7869 | 80363 | 16 |
| 7870 | 80369 | 6 |
| 7871 | 80387 | 18 |
| 7872 | 80407 | 20 |
| 7873 | 80429 | 22 |
Questions
What is the 7870th prime number?
80369.
Which prime number is 80369?
80369 is the 7870th prime number.
What is the sum of the first 7870 primes?
299,135,051.