What is the 7845th prime number?
The 7845th prime number is 80141. The next prime is 80147 (a gap of 6) and the one before is 80111.
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 7845th one is 80141.
- 2
80141 is prime because no prime up to ā80141 ā 283.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7845th prime is close to 7845 Ć ln(7845) ā 70351, and here it is 80141.
- 4
80141 has no twin: neither 80139 nor 80143 is prime.
Primes around the 7845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7842 | 80077 | 6 |
| 7843 | 80107 | 30 |
| 7844 | 80111 | 4 |
| 7845 | 80141 | 30 |
| 7846 | 80147 | 6 |
| 7847 | 80149 | 2 |
| 7848 | 80153 | 4 |
Questions
What is the 7845th prime number?
80141.
Which prime number is 80141?
80141 is the 7845th prime number.
What is the sum of the first 7845 primes?
297,128,826.