What is the 7672nd prime number?
The 7672nd prime number is 78137. The next prime is 78139 (a gap of 2) and the one before is 78121.
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 7672nd one is 78137.
- 2
78137 is prime because no prime up to ā78137 ā 279.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7672nd prime is close to 7672 Ć ln(7672) ā 68629, and here it is 78137.
- 4
78137 is a twin prime: 78137 and 78139 are both prime.
Primes around the 7672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7669 | 78079 | 20 |
| 7670 | 78101 | 22 |
| 7671 | 78121 | 20 |
| 7672 | 78137 | 16 |
| 7673 | 78139 | 2 |
| 7674 | 78157 | 18 |
| 7675 | 78163 | 6 |
Questions
What is the 7672nd prime number?
78137.
Which prime number is 78137?
78137 is the 7672nd prime number.
What is the sum of the first 7672 primes?
283,437,571.