What is the 7673rd prime number?
The 7673rd prime number is 78139. The next prime is 78157 (a gap of 18) and the one before is 78137.
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 7673rd one is 78139.
- 2
78139 is prime because no prime up to ā78139 ā 279.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7673rd prime is close to 7673 Ć ln(7673) ā 68639, and here it is 78139.
- 4
78139 is a twin prime: 78137 and 78139 are both prime.
Primes around the 7673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7670 | 78101 | 22 |
| 7671 | 78121 | 20 |
| 7672 | 78137 | 16 |
| 7673 | 78139 | 2 |
| 7674 | 78157 | 18 |
| 7675 | 78163 | 6 |
| 7676 | 78167 | 4 |
Questions
What is the 7673rd prime number?
78139.
Which prime number is 78139?
78139 is the 7673rd prime number.
What is the sum of the first 7673 primes?
283,515,710.