What is the 7872nd prime number?
The 7872nd prime number is 80407. The next prime is 80429 (a gap of 22) and the one before is 80387.
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 7872nd one is 80407.
- 2
80407 is prime because no prime up to ā80407 ā 283.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7872nd prime is close to 7872 Ć ln(7872) ā 70620, and here it is 80407.
- 4
80407 has no twin: neither 80405 nor 80409 is prime.
Primes around the 7872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7869 | 80363 | 16 |
| 7870 | 80369 | 6 |
| 7871 | 80387 | 18 |
| 7872 | 80407 | 20 |
| 7873 | 80429 | 22 |
| 7874 | 80447 | 18 |
| 7875 | 80449 | 2 |
Questions
What is the 7872nd prime number?
80407.
Which prime number is 80407?
80407 is the 7872nd prime number.
What is the sum of the first 7872 primes?
299,295,845.