What is the 7670th prime number?
The 7670th prime number is 78101. The next prime is 78121 (a gap of 20) and the one before is 78079.
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 7670th one is 78101.
- 2
78101 is prime because no prime up to ā78101 ā 279.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7670th prime is close to 7670 Ć ln(7670) ā 68609, and here it is 78101.
- 4
78101 has no twin: neither 78099 nor 78103 is prime.
Primes around the 7670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7667 | 78049 | 8 |
| 7668 | 78059 | 10 |
| 7669 | 78079 | 20 |
| 7670 | 78101 | 22 |
| 7671 | 78121 | 20 |
| 7672 | 78137 | 16 |
| 7673 | 78139 | 2 |
Questions
What is the 7670th prime number?
78101.
Which prime number is 78101?
78101 is the 7670th prime number.
What is the sum of the first 7670 primes?
283,281,313.