What is the 7852nd prime number?
The 7852nd prime number is 80191. The next prime is 80207 (a gap of 16) and the one before is 80177.
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 7852nd one is 80191.
- 2
80191 is prime because no prime up to ā80191 ā 283.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7852nd prime is close to 7852 Ć ln(7852) ā 70421, and here it is 80191.
- 4
80191 has no twin: neither 80189 nor 80193 is prime.
Primes around the 7852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7849 | 80167 | 14 |
| 7850 | 80173 | 6 |
| 7851 | 80177 | 4 |
| 7852 | 80191 | 14 |
| 7853 | 80207 | 16 |
| 7854 | 80209 | 2 |
| 7855 | 80221 | 12 |
Questions
What is the 7852nd prime number?
80191.
Which prime number is 80191?
80191 is the 7852nd prime number.
What is the sum of the first 7852 primes?
297,689,983.