What is the 7899th prime number?
The 7899th prime number is 80701. The next prime is 80713 (a gap of 12) and the one before is 80687.
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 7899th one is 80701.
- 2
80701 is prime because no prime up to ā80701 ā 284.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7899th prime is close to 7899 Ć ln(7899) ā 70890, and here it is 80701.
- 4
80701 has no twin: neither 80699 nor 80703 is prime.
Primes around the 7899th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7896 | 80681 | 4 |
| 7897 | 80683 | 2 |
| 7898 | 80687 | 4 |
| 7899 | 80701 | 14 |
| 7900 | 80713 | 12 |
| 7901 | 80737 | 24 |
| 7902 | 80747 | 10 |
Questions
What is the 7899th prime number?
80701.
Which prime number is 80701?
80701 is the 7899th prime number.
What is the sum of the first 7899 primes?
301,471,562.