What is the 7848th prime number?
The 7848th prime number is 80153. The next prime is 80167 (a gap of 14) and the one before is 80149.
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 7848th one is 80153.
- 2
80153 is prime because no prime up to ā80153 ā 283.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7848th prime is close to 7848 Ć ln(7848) ā 70381, and here it is 80153.
- 4
80153 has no twin: neither 80151 nor 80155 is prime.
Primes around the 7848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7845 | 80141 | 30 |
| 7846 | 80147 | 6 |
| 7847 | 80149 | 2 |
| 7848 | 80153 | 4 |
| 7849 | 80167 | 14 |
| 7850 | 80173 | 6 |
| 7851 | 80177 | 4 |
Questions
What is the 7848th prime number?
80153.
Which prime number is 80153?
80153 is the 7848th prime number.
What is the sum of the first 7848 primes?
297,369,275.