What is the 7675th prime number?
The 7675th prime number is 78163. The next prime is 78167 (a gap of 4) and the one before is 78157.
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 7675th one is 78163.
- 2
78163 is prime because no prime up to ā78163 ā 279.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7675th prime is close to 7675 Ć ln(7675) ā 68658, and here it is 78163.
- 4
78163 has no twin: neither 78161 nor 78165 is prime.
Primes around the 7675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7672 | 78137 | 16 |
| 7673 | 78139 | 2 |
| 7674 | 78157 | 18 |
| 7675 | 78163 | 6 |
| 7676 | 78167 | 4 |
| 7677 | 78173 | 6 |
| 7678 | 78179 | 6 |
Questions
What is the 7675th prime number?
78163.
Which prime number is 78163?
78163 is the 7675th prime number.
What is the sum of the first 7675 primes?
283,672,030.